(a) Use a numerical solver and the RK4 method to graph the solution of the initial-v...

(a) Use a numerical solver and the RK4 method to graph the solution of the initial-value problem

(b) Solve the initial-value problem by one of the analytic procedures developed earlier in this chapter.

(c) Use the analytic solution y(x) found in part (b) and a CAS to find the coordinates of all relative extrema.