Answer: In 63–70 use the Laplace transform to solve the

Chapter 7, Problem 66E

(choose chapter or problem)

In Problems 63–70 use the Laplace transform to solve the given initial-value problem.

\(y^{\prime \prime}+4 y=f(t)\), y(0) = 0, \(y^{\prime}(0)=-1\), where \(f(t)=\left\{\begin{array}{lr}

1, & 0 \leq t<1 \\

0, & t \geq 1

\end{array}\right.

\)

Text Transcription:

y^prime + 4y = f(t)

y^prime(0) = -1

f(t) = {1, 0 leq t < 1

          0, t geq 1

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