Question

How do you do this question?

Answer 1

-1

Explanation:

dy/dt = y² − 1 = (y + 1) (y − 1)

At t = 0, y = 0, and dy/dt = -1. Therefore, y is initially decreasing.

As y decreases, dy/dt increases. When y = -1, dy/dt = 0 and changes signs from negative to positive.

As y increases above -1, dy/dt again becomes negative. So y continues to approach -1 as t approaches infinity.