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Euler's Method for second order ODE

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Mohamed T. Adam
Mohamed T. Adam on 16 Jan 2022
Answered: Abhiroop Rastogi on 15 Feb 2022
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?
  1 Comment
Torsten on 16 Jan 2022
Edited: Torsten on 16 Jan 2022
Implement your ODE y''+1/2*y'+5y = 0 in function "func", reduce h from 0.5 to 0.05, and the code will run fine.

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Answers (1)

Abhiroop Rastogi
Abhiroop Rastogi on 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:
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.




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