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I have never had to handle ODEs where the coefficients are complex. Just wondering if solving this is even possible and whether you can point me to any sources/books.

Say I had the ODE

(df/dx) + a.f^2 + (b+i)f + c = 0

where f(x) is a function of x, a, b and c are constants, and i =sqrt(-1). Clearly if 'i' didnt feature then I could solve this quite easily and depending on the values of a, b and c this might be a logarithm or trig function. But in the presence of 'i' how do I solve this? How do I determine if I need to use the trig substitution or whether it is a logarithmic solution. Is it enough to just consider the real part of the complex coefficient and proceed in this way?

Thanks,

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# Homework Help: Complex ODE ?

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