Problem 43285. Solve equation numerically

Created by Jang geun Choi

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"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:pPr><w:r><w:t>y'=y</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>In order to solve equation using computer, numerical analysis are needed. 1st order Euler's method is one of the method. above equation can be expressed as</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>y(i+1)=y(i)+h*y(i)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>y(1)=1</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Calculate y(10) using h=0.1. Inputs are y(1) and h.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>https://en.wikipedia.org/wiki/Euler_method</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

98 Solutions
41 Solvers

Last Solution submitted on Dec 31, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 2738260

2 Comments

2 Comments

A C on 24 Jul 2020

Why does the steps stop at .8?

Rafael S.T. Vieira on 12 Aug 2020

Because from 0 to 0.8 there are nine steps following y1. However, this only works because h=0.1 (the step size) for all tests.

Problem Recent Solvers41

Problem Tags

easy for koaa matlab numeric simple

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 43285. Solve equation numerically

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers41

Suggested Problems

More from this Author27

Problem Tags

Community Treasure Hunt

Problem 43285. Solve equation numerically

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers41

Suggested Problems

More from this Author27

Problem Tags

Community Treasure Hunt

Players