Use eulers Method using matlab with 2 different step sizes. Please show code for both problems.

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Kendrick Lolange
Kendrick Lolange 2020-6-14
评论： Rena Berman 2020-10-12
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Ameer Hamza
Ameer Hamza 2020-6-15
Original Question asked by Kendrick Lolange:
Title: Use eulers Method using matlab with 2 different step sizes. Please show code for both problems.

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Ameer Hamza
Ameer Hamza 2020-6-14
Since this is a homework question, I will not give a complete code. However, I will point you to resources that can help you to understand how to implement the Euler method in MATLAB.
You can download the zip file given in this answer: https://www.mathworks.com/matlabcentral/answers/98293-is-there-a-fixed-step-ordinary-differential-equation-ode-solver-in-matlab-8-0-r2012b#answer_107643 and study the code of ode1.m. It is the implementation of the Euler method provided in very early releases of MATLAB. It is no longer included in MATLAB, but it is still useful to understand the implementation of the Euler method.
Following FEX packages are also helpful to learn about Euler method and its implementation MATLAB:
https://www.mathworks.com/matlabcentral/fileexchange/31426-euler-method-based-1st-order-ode-solving
https://www.mathworks.com/matlabcentral/fileexchange/45664-euler-method
https://www.mathworks.com/matlabcentral/fileexchange/72522-euler-method
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Ameer Hamza
Ameer Hamza 2020-6-14
No, these are the solution at x=2 given by Euler Method. To find the error, you will need to solve the equation analytically.

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