Differential Equation and Initial-Value Problem
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In Problem 42 solve the given initial-value problem in which the input function gx) is discontinuous. (Hint:
Solve each problem on two intervals, and then find a solution so that v and y' are continuous at x = pi (Problem 42).)
42. y" ? 2y' + 10y= g(x), y(O) = 0, y'(0) = 0, where
g(x)={20 0<x<pi
{0 x>pi
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