2. Suppose that y1(t)=7 and y2(t)=11 are the only equilibrium solutions of y=f(y) , and furthermore any

Fantastic news! We've Found the answer you've been seeking!

Question:

2. Suppose that $y_{1} (t) = 7$ and $y_{2} (t) = 11$ are the only equilibrium solutions of $y^{'} = f (y)$ , and furthermore any solution of this differential equation exists for all $t$ . If $f (9) < 0$ , then for any solution $y (t)$ with $7 < y (0) < 11$

(a) $lim_{t \to \infty} y (t) =$

(b) $lim_{t \to - \infty} y (t) =$