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Consider the following nonlinear system: x'(t) = x - y, y'(t) = (x^2-4)y a. Determine the...

Consider the following nonlinear system: x'(t) = x - y, y'(t) = (x^2-4)y

a. Determine the equilibria.

b. Classify the equilibria using linearization.

c. Use the nullclines to draw the phase portrait.

Please write neatly. Thanks!

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