How to solve second order coupled ODEs with bvp4c?

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I want to solve the following ODEs:
With boundary conditions
I'm aware that this problem needs to be solved with bvp4c or bvp5c, although I have great difficulty solving this because the equations are coupled. Is it possible to solve this problem with bvp4/5c, and how do I couple this?

Accepted Answer

Jan on 19 Nov 2021
function dy = YourODE(t, y)
k = 17;
dy = [y(3); ...
k * y(1) * y(2); ...
k * y(1) * y(2)];
If you call the coordinates x, y or c_a, c_b does not matter. I do not see, why a coupling is a problem. Does this help you already?

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