Question: In problem use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y'' +

In problem use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed.

y'' + y = f(t), y(0) = 1, y'(0) = 0, where

(1, f(t) = [sin t, 0st < /2 t2 /2

Appendix III

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(1, f(t) = [sin t, 0st < /2 t2 /2

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