For the differential equation, find all equilibrium solutions (if any) and determine if each is stable or unstable.
The equilibrium solutions are y = 0, y = 1, and y = -1.
When y > 1 the quantity (1 - y
When 0 < y < 1 all quantities are positive, so the slopes are positive.
When -1 < y < 0 the quantity y is negative, so the slopes are negative.
When y < -1 the quantities y and (1 + y) are negative, so the slopes are positive.
We end up with y = 1 and y = -1 being stable equilibrium solutions, while y = 0 is unstable: