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

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(a) Use a numerical solver and the RK4 method to graph the solution of the initial-value problem y' = -2xy + 1, (0) = 0.

(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.

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