Question: need help with this question please! (8 pts) Consider the autonomous nonlinear system of differential equations y' = f(y) = fi(y1, yz) f2(y1, y2)] =

need help with this question please!

(8 pts) Consider the autonomous nonlinear system of differential equations y' = f(y) = fi(y1, yz) f2(y1, y2)] = (31 - y2 ) (32 + 1) L(y1 + 2) (32 - 4) ] (1) (a) Determine all equilibrium solutions. (b) For each equilibrium solution ye give the linearization of y' = f(y) at ye and use the linearization theorem to determine the stability. The below direction field may be helpful in checking your work. -5111 -5311111 2 -531014101 1011111 -5 5110111 -2 -5 -2

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