Euler's Method for second order ODE
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Hello, i am trying to solve y''+(1/2)*y'+5y=0 with initial values of y'(0)=2 and y(0) = 0 using Euler's method. This is my code, can you please tell me how to fix it?
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Abhiroop Rastogi
il 15 Feb 2022
Hi Mohamed T. Adam,
The implementation of the differential equation, in the method that you have applied in your code, is not accurate. The way your equation would be represented is as follows:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/895040/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/895045/image.png)
You can find the the above implementation in the file attatched, named "Modified.m", for the modified code. The final output for the above equation will look as given in the figure below.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/895050/image.jpeg)
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