# 3. a. Find all equilibrium points for the system x ‘ = x 2 + y y ‘ = x . b. Compute the Jacobian…

3. a. Find all equilibrium points for the system

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3. a. Find all equilibrium points for the system x ‘ = x 2 + y y ‘ = x . b. Compute the Jacobian…

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*x*' = *x*2 + *y y*' = *x*.

b. Compute the Jacobian matrix at each equilibrium point.

c. What is the type of these equilibrium points?