determine the equilibrium point of the autonomous differenti

determine the equilibrium point of the autonomous differential equation and classify each as asymptomaticaly stable , unstable or semi- stable. dy/St= -3(y+1)² (y-2)y

Solution

Equilibrium points are given by dy/dt=0

so -3(y+1)²(y-2)y=0

so y=-1,y=2,y=0 are equilibrium points