Answer: In 914, use the Laplace transform to solve the given initial-value problem. Use

Chapter 4, Problem 13

(choose chapter or problem)

In Problems 9–14, use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed.

\(y^{\prime \prime}+16 y=f(t)\), y(0)=0, \(y^{\prime}(0)=1\), where \(f(t)=\left\{\begin{array}{lr}\cos 4 t, & 0 \leq t<\pi \\0, & t \geq \pi\end{array}\right.\)

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