Question 1 1 point How Did I Do? Consider the differential equation da · = f(x) = x³ + 12x²+36x dt a) Find the equilibri

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Question 1 1 Point How Did I Do Consider The Differential Equation Da F X X 12x 36x Dt A Find The Equilibri 1 (79.07 KiB) Viewed 17 times

Question 1 1 point How Did I Do? Consider the differential equation da · = f(x) = x³ + 12x²+36x dt a) Find the equilibrium points 1 < 2 of this differential equation. *1 = Number x₂ = Number b) Compute the derivative of f. f'(x) = c) Determine the stability of each of the equilibrium point possible by completing the following table. f'(x₂) Stability of ₂ Reason Of'(x1) <0 stable |O|||f'(x₁) = 1 inconclusive O f'(x1) > 0 Number asymptotically stable Of'(x₁)| <1 unstable Of'(₁) > 1 O f'(x₁) = 0 O f'(₂) <0 asymptotically stable O f'(x₂) >0 inconclusive O f'(x₂) > 1 unstable |0|f'(x₂)=1 stable Of'(₂) <1 O f'(x₂) = 0 *1 #2 Number ▬▬ O O O O oo O O O O