en.wikipedia.org website review
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SEO Keyword summary for en.wikipedia.org/wiki/exact_differential_equation
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be displaystyle
Focus keyword
Short and long tail
Short Tail Keywords displaystyle partial differential |
long Tail Keywords (2 words) exact differential differential equations differential equation first-order exact partial fpartial |
long Tail Keywords (3 words) exact differential equations first-order exact differential exact differential equation move to sidebar differential equations subsection differential equations toggle ordinary differential equation |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/exact_differential_equation page is used to inform the browser and visitors of the page about the general meta information. The head section of the page is where we place the page title, the definition of the HTML version used, the language of in which the page is written. In the head section we can also include JavaScript and CSS (markup) files for the page.
Page title
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exact differential equation wikipedia
Meta description
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Meta description SEO
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Content SEO
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Headings
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Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
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wikipedia free encyclopedia displaystyle mathbb ixydxjxydy frac partial fpartial ixyjxyyx dfdx sum nfrac xifrac dxidx fmathbb fxyfrac xdxydy textstyle ralpha xbeta gamma ydelta mxynxyfrac dydx myxynxxy psi xxymxytext yxynxy myxynxxyiff begincasesexists xypsi xxymxypsi yxynxyendcases myxypsi xyxytext nxxypsi yxxy xxymxy xyint mxydxhy xyqxyhy qxy qxm yxyfrac qpartial yxyhy hynxyfrac yxy npartial xxyfrac xfrac yxyiff yfrac xxy mpartial hyint leftnxyfrac yxyrightdy xyqxyint yxyrightdyc begincasespsi iff ddxpsi xyx xyxc mxydx nxydy mxydxhyqxyhypsi nxydygxpxygxendcases qxyhypxygx pxy pyn qxygxfxytext pxyhydxy fxy dxy gxfxyhyhydxygxrightarrow fxydxy pxyhyfxy xyqxyhypsi xypxygxendcases xygxfxyhy int ixyjxydy over ixy jxy dxleftdj dxrightdy dxd dxpartial xpartial ydy xdy dxleftpartial ypartial dxrightd xdj fxygleftxydy leftpartial yrightdyint xrightdy xrightdyixyhx xfxy fxydi fxypartial dxdi dxixyhxdhx dhx dxfxypartial dxixyhx hxint leftfxypartial dxixyhxrightdx gleftxydy dxrightdj dxixyhxrightdxint leftixyhxright xrightdx ixyhx xdyixyhx left xyd xyrightdxint ydxint dxhx hxc xyc xiy iyyc jxydy xrightfxy fxytdhtx dxixyhxpartial jxyd leftdj dxleftd xrightrightdfxy dfxy ixyhxd xrightfleftxydy dxright fleftxydy xrightrightfleftxydy xright jxyy yleft yleftd xrightrightyy leftixyhxrightd hxx iyy ypm sqrt wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/exact_differential_equation
Mobile rendering
Mobile optimizations
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No flash detected !
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Marketing / lead generation for en.wikipedia.org/wiki/exact_differential_equation
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Online presence
SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
differential found in path !
equation found in path !
exact found in path !
Structured data
Publisher Markup
Other Structured data
Website configuration
Correct processing of non-existing pages?
Favicon icon found?
Robots.txt found?
Sitemap found?
Navigation and internal links
Navigation
Url seperator
Human readable urls
Number of links
Link SEO Impact
statistics
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w httpsenwikipediaorgwindexphptitleexactdifferentialequationoldid1246399411
page information
printable version
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natural sciences
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physics
chemistry
biology
geology
applied mathematics
continuum mechanics
chaos theory
dynamical systems
social sciences
economics
population dynamics
list of named differential equations
ordinary
partial
differentialalgebraic
integrodifferential
fractional
nonlinear
dependent and independent variables
autonomous
homogeneous
nonhomogeneous
differential operator
notation for differentiation
difference
stochastic
stochastic partial
picardlindelf theorem
peano existence theorem
carathodorys existence theorem
cauchykowalevski theorem
initial conditions
boundary values
dirichlet
neumann
cauchy problem
wronskian
phase portrait
lyapunov stability
asymptotic stability
exponential stability
rate of convergence
series solutions
numerical integration
dirac delta function
method of characteristics
euler method
exponential response formula
finite difference method
cranknicolson method
finite element method
infinite element
finite volume method
galerkin method
petrovgalerkin
greens function
integrating factor
integral transforms
perturbation theory
rungekutta methods
separation of variables
method of undetermined coefficients
variation of parameters
isaac newton
gottfried leibniz
jacob bernoulli
leonhard euler
josephlouis lagrange
jzef maria hoenewroski
joseph fourier
augustinlouis cauchy
george green
carl david tolm runge
martin kutta
rudolf lipschitz
ernst lindelf
mile picard
phyllis nicolson
john crank
mathematics
simply connected
open
continuous
implicit
firstorder ordinary differential equation
continuously differentiable
exact differential
total derivative
inexact differential equation
isbn
holonomic
autonomous
on jet bundles
phase space
integral
inspection
substitution
list of linear ordinary differential equations
list of nonlinear ordinary differential equations
list of nonlinear partial differential equations
gottfried wilhelm leibniz
ernst lindelf
sofya kovalevskaya
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SEO Advice for en.wikipedia.org
In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
Item | Factor | Pointers | |
---|---|---|---|
PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
Title relevance | 98% | A title should reflect the contents of a site. This site has a 75 % match | |
Title Length | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 40 characters long | |
Meta Description | 0% | A meta description is the second element that shows in the search results so always use the meta description. | |
Meta description length | 0% | The meta description should be between 145 and 160 characters. This meta description is 1 characters long. | |
Meta description relevance | 0% | Meta Description should reflect the contents of a site. This site has a 0 % match | |
Number of internal links | 30% | Linking to internal pages makes pages easier to find for search engines. Try to keep the number of links on your page roughly below 100. There are 206 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 6 folders above or in the first level of navigation. | |
Headings | 51% | Headers should reflect the contents of a site. This site has a 22 % match | |
Links | 10% | Link anchors should to some degree reflect the contents of a site. This site has a 5 % match | |
Image alt tags | 14% | Image alt tags should to some degree reflect the contents of a site. This site has a 5 % match | |
Bold and italic | 63% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 21 % match | |
Html ratio | 30% | Try to keep the html / text ratio as low as possible. More html means longer loading times. Layout should be handled in a serpate css file | |
Image descriptions | 99% | 98.706896551724 % of all images have been described via the "alt" attribute. Describing images with relevant text may lead to better results in the search engines. | |
Page errors | 100% | Pages with no errors display significantly faster on most browsers. We detected 0 errors and warnings | |
WordCount | 20% | An ideal page contains between 400 and 600 words.This page contains 5236 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 90.61% faster then average | |
Gzip compression | 30% | This site does not use Gzip compression. Pages may not display as fast as they could | |
Keywords in Domainname | 30% | There are no important keywords in your domain name | |
Keywords in domain path | 100% | There are important keywords in the domain path | |
Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 520 inline style declarations ( <a style="color:green">) with a size of 17894 bytes | |
Excessive use of the same words | 100% | There is no indication that there are one or more keywords that are used excessively. | |
Frames or iframes | 100% | Perfect, detected not (i)frames on your webpagina | |
Flash | 100% | Perfect, we detected no flash objects on your page | |
Css | 30% | We detected too much (2) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 40% | We dit not font a normalized heading structure. A heading 2 (h2) for example should be followed by a heading of an equal level (h2), a child heading (h3) or even a aprent heading (h1). |
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en.wikipedia.org images and descriptions
145 images found at en.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
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https://wikimedia.org/api/rest_v1/media/math/render/svg/30cae2be470464f6ba039cb44f8d41630cbea387 height: height attribute not set width: width attribute not set description: {\displaystyle q(x,y)=g(x)+f(x,y){\text{ and }}p(x,y)=h(y)+d(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/29473ed0c4e838ac9dbe074535e507166c0e9101 height: height attribute not set width: width attribute not set description: {\displaystyle f(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3772957879a8bbf7946bddf5743c508a1d5072c0 height: height attribute not set width: width attribute not set description: {\displaystyle d(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/494544962d34abff54cca349eb9bd0dd2f77193a height: height attribute not set width: width attribute not set description: {\displaystyle g(x)+f(x,y)+h(y)=h(y)+d(x,y)+g(x)\rightarrow f(x,y)=d(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/30483d0b936b6dc317ce6b8779522017a1277661 height: height attribute not set width: width attribute not set description: {\displaystyle q(x,y)=g(x)+f(x,y){\text{ and }}p(x,y)=h(y)+f(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/23bfe0ccfb7a727eef5b4cb434db0353c19ad120 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}\psi (x,y)=q(x,y)+h(y)\\\psi (x,y)=p(x,y)+g(x)\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fba0397bf3e276c9cb69e50cd1d92f6767122d28 height: height attribute not set width: width attribute not set description: {\displaystyle \psi (x,y)=g(x)+f(x,y)+h(y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e12cf48725829808c0c5c5fc40e48ae10e398e6f height: height attribute not set width: width attribute not set description: {\displaystyle \int m(x,y)\,dx} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9e363864d31298e10bbacad4ffeb9e4edfc65dca height: height attribute not set width: width attribute not set description: {\displaystyle \int n(x,y)\,dy} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1a7a47fde340a650e1058926bf82ecc2e9831159 height: height attribute not set width: width attribute not set description: {\displaystyle i(x,y)+j(x,y){dy \over dx}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4ec533ce0db7ddc246c115f375d6892597775732 height: height attribute not set width: width attribute not set description: {\displaystyle i(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/682f2096ca3224affd589668b3a04232e5e7dfcd height: height attribute not set width: width attribute not set description: {\displaystyle j(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ebf074de86f14fc20637ec75aefb12b3caa7c84b height: height attribute not set width: width attribute not set description: {\displaystyle {di \over dx}+\left({dj \over dx}\right){dy \over dx}+{d^{2}y \over dx^{2}}(j(x,y))=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/24056990358ad975915f62b4af74958e8f00c6e4 height: height attribute not set width: width attribute not set description: {\displaystyle {di \over dx}={\partial i \over \partial x}+{\partial i \over \partial y}{dy \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/29d5225eb858c33e3d42898b915d597e7ccbd5e4 height: height attribute not set width: width attribute not set description: {\displaystyle {dj \over dx}={\partial j \over \partial x}+{\partial j \over \partial y}{dy \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bc491135917c7be471a912fe06ac0485990f0a4e height: height attribute not set width: width attribute not set description: {\textstyle {dy \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bebcbadebe76afd791de7676fd07b01e61154259 height: height attribute not set width: width attribute not set description: {\displaystyle {\partial i \over \partial x}+{dy \over dx}\left({\partial i \over \partial y}+{\partial j \over \partial x}+{\partial j \over \partial y}{dy \over dx}\right)+{d^{2}y \over dx^{2}}(j(x,y))=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/05863a5f67a47b6cb490417ae7ee40c41e222de9 height: height attribute not set width: width attribute not set description: {\textstyle {\partial j \over \partial x}={\partial i \over \partial y}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/930f8d9fbe4e504fe3f7f8a1dba3b283efcbaced height: height attribute not set width: width attribute not set description: {\textstyle {dj \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/df567867ab7eddffce102f4e8e0236e6f574e883 height: height attribute not set width: width attribute not set description: {\displaystyle {\partial i \over \partial x}+{dy \over dx}\left({\partial j \over \partial x}+{dj \over dx}\right)+{d^{2}y \over dx^{2}}(j(x,y))=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d4121d199c3ad3c941b2ed25e30dee85d7e418de height: height attribute not set width: width attribute not set description: {\displaystyle f(x,y)+g\left(x,y,{dy \over dx}\right){dy \over dx}+{d^{2}y \over dx^{2}}(j(x,y))=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8c203a2d2d50485f5823eed13c8b4b59b75d0435 height: height attribute not set width: width attribute not set description: {\displaystyle {\partial j \over \partial x}={\partial i \over \partial y}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5021bede5d2356ac1813702366a94a955a46c2d4 height: height attribute not set width: width attribute not set description: {\displaystyle \int \left({\partial i \over \partial y}\right)\,dy=\int \left({\partial j \over \partial x}\right)\,dy} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a280fe553fe2a0489e396970e76ce8a08e11145b height: height attribute not set width: width attribute not set description: {\displaystyle \int \left({\partial i \over \partial y}\right)\,dy=\int \left({\partial j \over \partial x}\right)\,dy=i(x,y)-h(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/02c07825dae28705df03d15daeb8844d49c4dbd4 height: height attribute not set width: width attribute not set description: {\displaystyle h(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fe2933aeb4aee0d75dd937e366a09f0ac380485b height: height attribute not set width: width attribute not set description: {\displaystyle {\partial i \over \partial x}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/36c8d94d70f0fcaf35ea498924d90bfccc0838e4 height: height attribute not set width: width attribute not set description: {\displaystyle {\partial i \over \partial x}=f(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/418d5385c157d865bd63d5095ef5552cfbf45009 height: height attribute not set width: width attribute not set description: {\displaystyle f(x,y)={di \over dx}-{\partial i \over \partial y}{dy \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b84224e62fac16b55c9614350735935236d70dda height: height attribute not set width: width attribute not set description: {\displaystyle {di \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3862d0dcc675412aed44ce3d6a7d5e69bff39dce height: height attribute not set width: width attribute not set description: {\displaystyle f(x,y)+{\partial i \over \partial y}{dy \over dx}={di \over dx}={d \over dx}(i(x,y)-h(x))+{dh(x) \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e5151fc5ce2da0e31020722d5e5278374f066a24 height: height attribute not set width: width attribute not set description: {\displaystyle {dh(x) \over dx}=f(x,y)+{\partial i \over \partial y}{dy \over dx}-{d \over dx}(i(x,y)-h(x))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9990032d74c72ceea6d65ea977588ec2ee1ae29b height: height attribute not set width: width attribute not set description: {\displaystyle h(x)=\int \left(f(x,y)+{\partial i \over \partial y}{dy \over dx}-{d \over dx}(i(x,y)-h(x))\right)\,dx} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7e583518209dcbde4b189c8241a5a7e8201c861d height: height attribute not set width: width attribute not set description: {\displaystyle g\left(x,y,{dy \over dx}\right)={dj \over dx}+{\partial j \over \partial x}={dj \over dx}+{\partial j \over \partial x}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ab5d0acd437a8b13059dead5cfb7082a6d768caf height: height attribute not set width: width attribute not set description: {\displaystyle \int \left(f(x,y)+{\partial i \over \partial y}{dy \over dx}-{d \over dx}(i(x,y)-h(x))\right)\,dx=\int \left(f(x,y)-{\partial \left(i(x,y)-h(x)\right) \over \partial x}\right)\,dx} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/35ed99240f3e5fd231d59686084cdf5af6bedfdc height: height attribute not set width: width attribute not set description: {\displaystyle i(x,y)-h(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a88bb2c8fc5cb87aae9026510b4072c8f7e09cdd height: height attribute not set width: width attribute not set description: {\displaystyle c_{1}x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7ec545f7870665e1028b7492746848d149878808 height: height attribute not set width: width attribute not set description: {\displaystyle c_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7917e7acbd546522bb3ba25837518aa52d17bddb height: height attribute not set width: width attribute not set description: {\displaystyle (1-x^{2})y''-4xy'-2y=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/147ec60507e44a6d376237c0a16132cf7461cd62 height: height attribute not set width: width attribute not set description: {\displaystyle y''} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/462243d841fc40a3fe3f8f05c2cf637ea867ad41 height: height attribute not set width: width attribute not set description: {\displaystyle 1-x^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ef5fb9ceb1c57d2f85b6a6107fdfd3f98734e96 height: height attribute not set width: width attribute not set description: {\displaystyle -2x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b88a489c887163d06130daf45d9c389f2bf442ca height: height attribute not set width: width attribute not set description: {\displaystyle -4x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3a535de94a2183d7130731eab8a83531d7c35c6b height: height attribute not set width: width attribute not set description: {\displaystyle y'} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5db595d0ff317cd8e249589687273bad7a532667 height: height attribute not set width: width attribute not set description: {\displaystyle \int (-2x)\,dy=i(x,y)-h(x)=-2xy} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1747dd634e993ad455ac201e9f02e36c8d5e2aaa height: height attribute not set width: width attribute not set description: {\displaystyle f(x,y)=-2y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5e69e225cdbb817b48a74128cbe4883caf39c916 height: height attribute not set width: width attribute not set description: {\displaystyle \int \left(-2y-2xy'-{d \over dx}(-2xy)\right)\,dx=\int (-2y-2xy'+2xy'+2y)\,dx=\int (0)\,dx=h(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8a1e52a58b27b127fa03555db3ba3bd0000dc417 height: height attribute not set width: width attribute not set description: {\displaystyle h(x)=c_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8ac91eca01e7846064095af103686258243ace18 height: height attribute not set width: width attribute not set description: {\displaystyle i(x,y)=-2xy+c_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/af3aa294a48d8acd434c2ba5ad3df773f30bef9c height: height attribute not set width: width attribute not set description: {\displaystyle -2xy+c_{1}+(1-x^{2})y'=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/88dfb45a958a6b4832c445c1ae6054172bc0acbf height: height attribute not set width: width attribute not set description: {\displaystyle -x^{2}y+c_{1}x+i(y)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3961c20d14519f91b558992f2686a1d990df9955 height: height attribute not set width: width attribute not set description: {\displaystyle i(y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0b6119fa4139077b37154ff49241d6399313c6e6 height: height attribute not set width: width attribute not set description: {\displaystyle -x^{2}+i'(y)=1-x^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e6495cc02ece5df8d0a60a5803fe79a5a0e16342 height: height attribute not set width: width attribute not set description: {\displaystyle i(y)=y+c_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c364b9816cbfb5f6129535a6948f7cfe8132e30b height: height attribute not set width: width attribute not set description: {\displaystyle c_{1}x+c_{2}+y-x^{2}y=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/87d9cabde4e2055be75e8e4b28b7f932a6f12645 height: height attribute not set width: width attribute not set description: {\displaystyle y={\frac {c_{1}x+c_{2}}{1-x^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fe058f48629727ab3e98d126c817d0675962d643 height: height attribute not set width: width attribute not set description: {\displaystyle {d^{2}y \over dx^{2}}(j(x,y))+{dy \over dx}\left({dj \over dx}+{\partial j \over \partial x}\right)+f(x,y)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e033ab2708e9e6e46d526c551897c4dda57a67ca height: height attribute not set width: width attribute not set description: {\displaystyle f(x,yt)={dht(x) \over dx}+{d \over dx}(i(x,y)-h(x))-{\partial j \over \partial x}{dy \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b height: height attribute not set width: width attribute not set description: {\displaystyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0e2ab433e9091be024c0cfdab3e5a88652af02c9 height: height attribute not set width: width attribute not set description: {\displaystyle (n+2)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b3b02fcc836cae457c38e6e5ad42c093c09c9af9 height: height attribute not set width: width attribute not set description: {\displaystyle {d^{3}y \over dx^{3}}(j(x,y))+{d^{2}y \over dx^{2}}{dj \over dx}+{d^{2}y \over dx^{2}}\left({dj \over dx}+{\partial j \over \partial x}\right)+{dy \over dx}\left({d^{2}j \over dx^{2}}+{d \over dx}\left({\partial j \over \partial x}\right)\right)+{df(x,y) \over dx}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ec9e514bdecf545af36feb55c6bb68ea9096296d height: height attribute not set width: width attribute not set description: {\displaystyle {df(x,y) \over dx}={d^{2}h(x) \over dx^{2}}+{d^{2} \over dx^{2}}(i(x,y)-h(x))-{d^{2}y \over dx^{2}}{\partial j \over \partial x}-{dy \over dx}{d \over dx}\left({\partial j \over \partial x}\right)=f\left(x,y,{dy \over dx}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/299eb95224dd9c497169d23f8b70e5fb31b843f4 height: height attribute not set width: width attribute not set description: {\displaystyle f\left(x,y,{dy \over dx}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5ea0abffd33a692ded22accc104515a032851dff height: height attribute not set width: width attribute not set description: {\displaystyle x,y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8b4268a692cfe2fc00b697a36319e0b029640fd9 height: height attribute not set width: width attribute not set description: {\displaystyle {dy \over dx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bced585a94beff62d23928504718b8404332cd04 height: height attribute not set width: width attribute not set description: {\displaystyle {d^{2}y \over dx^{2}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d11a7e5dc893574fc9055277492a8272b6a87f31 height: height attribute not set width: width attribute not set description: {\displaystyle {d^{3}y \over dx^{3}}(j(x,y))+{d^{2}y \over dx^{2}}\left(2{dj \over dx}+{\partial j \over \partial x}\right)+{dy \over dx}\left({d^{2}j \over dx^{2}}+{d \over dx}\left({\partial j \over \partial x}\right)\right)+f\left(x,y,{dy \over dx}\right)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8ac1b3b6df0fe26184232094f72c7312ff4ac8bf height: height attribute not set width: width attribute not set description: {\displaystyle 2{dj \over dx}+{\partial j \over \partial x}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ef09ab15675d8bb53a7440f4f4fb9f2dc034a900 height: height attribute not set width: width attribute not set description: {\displaystyle {d^{2}j \over dx^{2}}+{d \over dx}\left({\partial j \over \partial x}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3dde72df2b9fa5955c0685ba26968ce80a6787f2 height: height attribute not set width: width attribute not set description: {\displaystyle f\left(x,y,{dy \over dx}\right)-{d^{2} \over dx^{2}}(i(x,y)-h(x))+{d^{2}y \over dx^{2}}{\partial j \over \partial x}+{dy \over dx}{d \over dx}\left({\partial j \over \partial x}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/24ff9bb3096af999f0559cd6435430da37865f8e height: height attribute not set width: width attribute not set description: {\displaystyle yy'''+3y'y''+12x^{2}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/25b7f92daf9afc655c6fcc2eb40bfd0334381500 height: height attribute not set width: width attribute not set description: {\displaystyle j(x,y)=y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b6e29cab740875f0e40639cde937a69b733f960e height: height attribute not set width: width attribute not set description: {\displaystyle y''\left(2{dj \over dx}+{\partial j \over \partial x}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9c16a942336ff223f7e8d2f439606b078681569f height: height attribute not set width: width attribute not set description: {\displaystyle 2y'y''} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/385b2d746ff7a23c163e8fc77abead148673b8fd height: height attribute not set width: width attribute not set description: {\displaystyle y'\left({d^{2}j \over dx^{2}}+{d \over dx}\left({\partial j \over \partial x}\right)\right)=y'y''} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/eac0d25fcc0ef35eba71dc0549d763343d918ae1 height: height attribute not set width: width attribute not set description: {\displaystyle 3y'y''} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bbe19f29ac2185fb050237420fa6251184089308 height: height attribute not set width: width attribute not set description: {\displaystyle f\left(x,y,{dy \over dx}\right)-{d^{2} \over dx^{2}}\left(i(x,y)-h(x)\right)+{d^{2}y \over dx^{2}}{\partial j \over \partial x}+{dy \over dx}{d \over dx}\left({\partial j \over \partial x}\right)=12x^{2}-0+0+0=12x^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9d8dc0b210fb08589fd15c01dd2b134d130b9ee1 height: height attribute not set width: width attribute not set description: {\displaystyle h(x)=x^{4}+c_{1}x+c_{2}=i(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6f1a8546245effb99e8e6ff32fc03a10042745f7 height: height attribute not set width: width attribute not set description: {\displaystyle x^{4}+c_{1}x+c_{2}+yy'=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/980d75b5c6f09daff0115af37ef928605aaafbfd height: height attribute not set width: width attribute not set description: {\displaystyle {x^{5} \over 5}+c_{1}x^{2}+c_{2}x+i(y)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5cc8631ea51aa08d426d9db0a1b0a481cb82ffff height: height attribute not set width: width attribute not set description: {\displaystyle i'(y)=y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d7a12722031937cd46ed94a649997f42e0615bfa height: height attribute not set width: width attribute not set description: {\displaystyle i(y)={y^{2} \over 2}+c_{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8321aac32851151ac5fffcd6ed10a96cfbcc9d84 height: height attribute not set width: width attribute not set description: {\displaystyle {x^{5} \over 5}+c_{1}x^{2}+c_{2}x+c_{3}+{y^{2} \over 2}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5a4df0091528a2ce3653f59aaf6d4770e2ccffe8 height: height attribute not set width: width attribute not set description: {\displaystyle y=\pm {\sqrt {c_{1}x^{2}+c_{2}x+c_{3}-{\frac {2x^{5}}{5}}}}} |
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https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
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http://en.wikipedia.org/static/images/footer/wikimedia-button.svg height: 29 width: 84 description: wikimedia foundation |
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http://en.wikipedia.org/w/resources/assets/poweredby_mediawiki.svg height: 31 width: 88 description: powered by mediawiki |
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