- #1

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I am currently struggling decoupling (or just solving) a system of coupled ODEs.

The general form I wish to solve is:

a'(x)=f(x)a(x)+i*g(x)b(x)

b'(x)=i*h(x)a(x)+j(x)a(x)

where the ' indicates a derivative with respect to x, i is just the imaginary i, and f(x), g(x), h(x), and j(x) are arbitrary functions of x.

Is there a closed form solution for this kind of problem?

Any help would be appreciated.

Thanks.