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" 2y' + 10y = g(x), y(0) = 0, y' (0) = 0, where 20, 0sx < T g(x) lo, [0,

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