In 63–70 use the Laplace transform to solve
Chapter 7, Problem 69E(choose chapter or problem)
In Problems 63–70 use the Laplace transform to solve the given initial-value problem.
\(y^{\prime \prime}+y=f(t)\), y(0) = 0, \(y^{\prime}(0)=1\), where \(f(t)=\left\{\begin{array}{lr}
0, & 0 \leq t< \\
1, & \leq t<2 \\
0, & t \geq 2
\end{array}\right.
\)
Text Transcription:
y^prime.prime + y = f(t)
y^prime(0) = 1
f(t) = {0, 0 leq t <
1, leq t < 2
0, t geq 2
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