Question: 1i]. {8 points) Consider the system yty - 3) I xi 3'] a. Find all equilibrium solutions/critical points. b. Find the corresponding linear system near

1i]. {8 points) Consider the system yty - 3) I xi 3'] a. Find all equilibrium solutions/critical points. b. Find the corresponding linear system near each equilibrium solution {by using the formal approach with the Jaoobian matrix). c. Classify each equilibrium solution. Is each stable or unstable? If either equilibrium solution is a center for the linear system, will it denitely be a center in the nonlinear system? If not, what are the other possibilities

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