Problem 51745. Solve an ODE: equation A

Created by ChrisR

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function to solve the following ordinary differential equation: </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/><w:attr w:name=\"altTextString\" w:val=\"y&quot;-xy = 0\"/></w:customXmlPr><w:r><w:t>\\frac{d^2y}{dx^2} – x y = 0</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>with </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"y(x0) = y0\"/></w:customXmlPr><w:r><w:t>y(x_0) = y_0</w:t></w:r></w:customXml><w:r><w:t> and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"y(x1) = y1\"/></w:customXmlPr><w:r><w:t>y(x_1) = y_1</w:t></w:r></w:customXml><w:r><w:t>. The function should return the values of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"y\"/></w:customXmlPr><w:r><w:t>y</w:t></w:r></w:customXml><w:r><w:t> at the specified values of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"x\"/></w:customXmlPr><w:r><w:t>x</w:t></w:r></w:customXml><w:r><w:t>. One application of this equation involves the propagation of internal gravity waves in a fluid with variable density gradient.</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 118.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 59.3px; transform-origin: 407px 59.3px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.417px 8px; transform-origin: 209.417px 8px; unicode-bidi: normal; "><span style="">Write a function to solve the following ordinary differential equation: </span></span></div><div style="block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-16px"><img src="data:image/png;base64,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" alt="y&quot;-xy = 0" style="width: 74px; height: 36.5px;" width="74" height="36.5"></span></div><div style="block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.3917px 8px; transform-origin: 14.3917px 8px; unicode-bidi: normal; "><span style="">with </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="y(x0) = y0" style="width: 64.5px; height: 20px;" width="64.5" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; "><span style=""> and </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="y(x1) = y1" style="width: 64.5px; height: 20px;" width="64.5" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 128.742px 8px; transform-origin: 128.742px 8px; unicode-bidi: normal; "><span style="">. The function should return the values of </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">y</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 8px; transform-origin: 80.9px 8px; unicode-bidi: normal; "><span style=""> at the specified values of </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">x</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.2333px 8px; transform-origin: 62.2333px 8px; unicode-bidi: normal; "><span style="">. One application of this equation involves the propagation of internal gravity waves in a fluid with variable density gradient.</span></span></div></div></div>

Solve

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Last Solution submitted on Jan 23, 2022

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David Hill on 14 May 2021

Chris,
Can you loosen the tolerance to 1e-13. Cannot seem to get all my answers within tolerance.

ChrisR on 14 May 2021

The tight tolerances are meant to encourage analytical solutions. A tag and the problem title provide clues. Nevertheless, I've loosened the tolerance on the tests that solution 5760543 didn't pass.

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Problem 51745. Solve an ODE: equation A

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Problem 51745. Solve an ODE: equation A

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers7

Suggested Problems

More from this Author172

Problem Tags

Community Treasure Hunt

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