Considering the following equation;
$$\frac{dx}{dt}=x^2-x^4 $$
I want to
(1). Know which are its equilibrium states
(2). Say if such states are stable or unestable
My aproach:
(1). $x'=0 \implies x(t)=1, x(t)=0, x(t)=-1$
So this would be the equilibrium states, and how would i aproach (2)?, (3) is there any method of drawing a phase portrait of it?.