Question

Question #99fb3

Answer 1

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(0)=1` and in green the solution for `y(0)=-1`