For the differential equation, find all equilibrium solutions (if any) and determine if each is stable or unstable.
First we factor:
The equilibrium solutions are y = 0 and y = -1:
Since (y + 1)2 is always positive, this factor won't affect the signs of the slopes.
When y > 0 the slopes are positive, and when y < 0 the slopes are negative:
Both equilibrium solutions are unstable.