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Solving a System of ODEs using Euler's method

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Lionel Mends
Lionel Mends on 14 Sep 2021
Answered: Jan on 14 Sep 2021
Hi,
I am having trouble finding a solution to a sytem of ODEs using Euler's method. I have tried several codes with several parameters, but I don't seem to get the right results. I have in addition to this text included the problem and my code as references. Any assitance would be greatly appreciated. Thanks
The code

Answers (1)

Jan
Jan on 14 Sep 2021
Your function to be integrated depends on t also. You call this x in the Euler method.
At is easier to use vector equations:
f = @(t,y) [-t*y(1) - y(2); -y(1) + t * y(2)];
...
y(:, i + 1) = y(:, i) + h * f(t(i), y(:, i));

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