I've looked all over the place and I can't seem to find a reference for solution methods to common forms of first order nonlinear ordinary differential equations.
I'm currently starting at the population model:
$dP/dt=aP^2-bP$ given $ a, b > 0 $
and not really getting anywhere with this. Wolfram|Alpha doesn't seem to be able to parse it so I can't search the solution steps for insight, though maybe there's some special syntax I should be using there.
How would I go about solving this one in particular, and where would I find a compendium of ODE solution methods?