# Question #99fb3

Dec 2, 2016

See below.

#### Explanation:

The state-space diagram is built with the slope field

and has the aspect shown in the attached figure

Here we can see that $y = 2$ represents a unstable steady state, $y = 0$ represents an stable steady state behavior when approached from $y > 0$ and unstable when approached from $y < 0$.

The only stable steady state is for $y = - 2$

In red the solution for $y \left(0\right) = 1$ and in green the solution for $y \left(0\right) = - 1$