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Please explain the steps clearly and explain in detail. Consider the equation x' (t) = x3 (t) (13:2 (t) (1:30). (a) Find the equilibrium solutions

Please explain the steps clearly and explain in detail.

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Consider the equation x' (t) = x3 (t) (13:2 (t) (1:30). (a) Find the equilibrium solutions for each value of a. (b) Determine their stability for each value of a. (0) Sketch solutions, indicating concavity/ convexity, increase/ decrease, and the limiting point for the cases a 0

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