stable/unstable DEs

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!

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.