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For the equationdydx=f(y) = (y−1)(y+ 2)2, do the following:(a) Draw the graph off(y) versusy.(b) Determine the...

For the equationdydx=f(y) = (y−1)(y+ 2)2, do the following:(a) Draw the graph off(y) versusy.(b) Determine the values wherefhas zeros, and wheref′changes sign.(c) Draw the family of solutions to the differential equation.(c) Draw the phase line and classify the equilibrium solutions as stable,unstable, or semi-stable.(Do NOT solve this equation).

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