Question: Solve the given initial-value problem in which the input function g(x) is discontinuous. Solve each problem on two intervals, and then find a solution so

Solve the given initial-value problem in which the input function g(x) is discontinuous. Solve each problem on two intervals, and then find a solution so that y and y' are continuous at x = π/2 (Problem 41) and at x = π (Problem 42).

y" + 4y = g(x), y(0) = 1, y'(0) = 2, where Ssin x, 0 7/2

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