Question: 2. Consider the differential equation given by = x(y - 1)2. (a) Sketch a slope field for the given differential equation at the eleven

2. Consider the differential equation given by " = x(y - 1)2. (a) Sketch a slope field for the given differential equation at the eleven points indicated. (b) Use the slope field for the given differential equation to explain why a solution could not have the graph shown below. (c) Find the particular solution y = f(x) to the given differential equation with the initial condition f (0) = -1. (d) Find the range of the solution found in part (c)

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