Problem #8: Consider the following autonomous first order differential equation. y' = - (1 + 3 )2 (v - 2)y (a) Classify the equilibrium points as stable, unstable, or semi-stable. (b) Let y(x) be a solution satisfying y(0) = 1. What is lim y(x)? (A) -3 (semi-stable), 0 (semi-stable), 2 (stable) (B) -3 (stable), 0 (unstable), 2 (semi-stable) (C) -3 (unstable), 0 (semi-stable), 2 (stable) (D) -3 (stable), 0 (semi-stable), 2 (unstable) (E) -3 (semi-stable), 0 (stable), 2 (unstable) (F) -3 (unstable), 0 (stable), 2 (semi-stable) (G) -3 (unstable), 0 (unstable), 2 (stable) (H) -3 (semi-stable), 0 (unstable), 2 (semi-stable) (I) -3 (semi-stable), 0 (unstable), 2 (stable) Problem #8(a): Select v Problem #8(b): Enter your answer symbolically, as in these examples