Problem 4. Consider the following differential equation: y' = (y-3)(25- 32). a.) Determine the critical points and describe the stability at each of these points. b.) For each of the following initial values for y(0) describe the limiting behavior and sketch a the graph for that initial value. y(0) = -6, 0,4, and 6. c.) Assume that y takes on negative as well as positive values and find the limiting behavior in the negative direction for the solutions sketched in part (b) (i.e. as t - -oo): It would be helpful if you sketched the graphs on the same coordinate drawing.]