Suppose that y1 (t) = 7 and y2 (t) = 11 are the only equilibrium solutions...

Transcribed Image Text:

Suppose that y1 (t) = 7 and y2 (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 we must have that (a) lim y(t) t+ 00 lim y(t) - 00 (b) Suppose that y1 (t) = 7 and y2 (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 we must have that (a) lim y(t) t+ 00 lim y(t) - 00 (b)