I'm not 101% about this but...
Calculate the derivative of and sub in the equilibrium values you found.
If its < 0 they are stable (and in fact, a sink)
If it's > 0 they are unstable (and a source)
If it's = 0 we need more info.
Consider the differential equation given by
List the equilibrium solutions in increasing order and classify them as stable, semistable, or unstable.
I think I know to find the equilibrium solutions; you just factor out the y and get:
so the solutions are
But how to do I see whether they're stable, unstable, or semi stable?
any help is appreciated, thanks!