Question: 3. (15 points) Consider the autonomous initial value problem: d d:'=y(y1)(y2), gm) =yo 20, 1520. (i) (2 points) Sketch the graph of the righthand side

3. (15 points) Consider the autonomous initial value problem: d d:'=y(y1)(y2), gm) =yo 20, 1520. (i) (2 points) Sketch the graph of the righthand side of the equation as a function of y. (ii) (6 points) Proceeding as in parts (ii) and (iii) of Question 5, classify the equilibria of the equation as asymptotically stable or unstable. (iii) (7 points) Obtain a formula for the solution of the initial value problem for any yo. Do not solve the formula explicitly for y

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