Answer: In 9–14 use the Laplace transform to solve the

Chapter 7, Problem 13E

(choose chapter or problem)

In Problems 1–8 use Theorem 7.4.1 to evaluate the given Laplace transform.

\(y^{\prime \prime}+16 y=f(t)\), y(0) = 0, \(y^{\prime}(0)=1\) where \(f(t)=\left\{\begin{array}{lr}

\cos 4 t, & 0 \leq t< \\

0, & t \geq

\end{array}\right.

\)

Text Transcription:

f(t)={{array} lr cos 4t, & 0 leq t<0, & t geq {array}.

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