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In Problems 41 and 42 solve the given initial-value problem in which the input function g(x) is discontinuous. [Hint: 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).]
42. y″ − 2y′ + 10y = g(x), y(0) = 0, y′(0) = 0, where
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Chapter 4 Solutions
Differential Equations with Boundary-Value Problems (MindTap Course List)
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