For differential equation dydtyy2 a Determine and classify t

For differential equation dy/dt=y(y-2).

(a) Determine and classify the equilibrium (critical) points for the equation.

(b) Sketch the direction field for the differential equation.

Given dy/dt=y(y-2)

Equilibrium points are given by dy/dt=0

so y(y-2)=0

then y=0 or y-2=0

y=0 or y=2 are equilibrium points