Euler's Method for second order ODE

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Mohamed T. Adam on 16 Jan 2022

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Answered: Abhiroop Rastogi on 15 Feb 2022

Coursework_2_2.m

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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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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Answer 1

Abhiroop Rastogi on 15 Feb 2022

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Modified.m

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.