Given the autonomous differential equation: dy 0.2y(5-y)(y-2) dt a. Find the equilibrium points. Classify each of them as stable, unstable, or semi-stable. b. c. - Sketch a graph of y vs t in the yt-plane. Draw several solution curves. Suppose that this equation models a population of rats (given in thousands of rats) for a particular region. Explain the meaning of 5 and 2 in the model. What do they represent?

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