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\textbf{Math 325: Differential Equations}
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\textbf{Quiz 2}\quad \textsl{Sept. 20, 1996}

\begin{enumerate}

\problemspace
\item
Compute the Laplace transform of the function
\[
  f(t) = \cases{1 & $1\le t \le 2$ \cr 0 & otherwise \cr}
\]
\answerspace

\problemspace
\item
Solve the inital value problem using the Laplace transform.
\[
  y^{(4)} - y'' = \cos(t),\quad y(0) = y'(0) = y''(0) = y'''(0) = 0
\]
\answerspace

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