12. Consider the nonlinear system i =x-y +5, y = x2 +6x +8. a. Find all the equilibrium points. b. Describe the type and
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12. Consider the nonlinear system i =x-y +5, y = x2 +6x +8. a. Find all the equilibrium points. b. Describe the type and
12. Consider the nonlinear system i =x-y +5, y = x2 +6x +8. a. Find all the equilibrium points. b. Describe the type and stability of each equilibrium point found in part (a) by examining the associated linear system in each case.
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