I need some help with a differential equation:(adsbygoogle = window.adsbygoogle || []).push({});

dy/dt = A*y^n + g(t)

where A and n are constants that can be any real numbers and g(t) is just

some function of t (e.g., g(t) = exp(-t/tau) or g(t) = constant or g(t) =

0). I think this is a nonlinear ODE.

If g(t) is a constant then it is an "autonomous" equation but if g(t) depends explicitly on t then it is "nonautonomous".

I can solve it if g(t) = 0. and g(t) = constant.

I can't find a solution if g(t) is some arbitrary function of t.

Any help would be much appreciated!

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# Nonautonomous ode

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