Question: 1. Given the nonlinear systems = y (a) Find the equilibrium points. Classify them, i.e., saddle, node, focus, etc. (b) Compute the Jacobian linearization

1. Given the nonlinear systems = y (a) Find the equilibrium points.

1. Given the nonlinear systems = y (a) Find the equilibrium points. Classify them, i.e., saddle, node, focus, etc. (b) Compute the Jacobian linearization about each equilibrium point. (c) Write a Matlab script using quiver and ode45 to generate the phase portrait. The phase portrait should include at least ten trajectories. The axes should be scaled so that all equilibrium points are shown.

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