Wondering whether somebody could help me with a quick integral??(adsbygoogle = window.adsbygoogle || []).push({});

dp/dt = ap(1-(p^2/q^2))

initial condition p(0) = 0

I have tried separating the variables, and then taking the partial fractions where needed, however my answer does not simplify nicely and it gets into some really complicated logarithms, I was wondering if I was doing something wrong?? Or if somebody could show me a different way of solving this equation. Thank you :)

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# Separating Variables in Integration

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