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\textbf{Math 325: Differential Equations}
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\textbf{Quiz 2}\quad \textsl{Oct. 1, 1997}

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\problemspace
\item
Solve the initial value problem and sketch the solution.
\[
y'''' + y'' = \delta(t-\pi),\qquad
y(0) = 0, \quad y'(0) = 0, \quad y''(0) = 0, \quad y'''(0) = 0
\]
\answerspace

\problemspace
\item
Express the solution to the initial value problem
\[
    y'' + 8 y' + 25y = \tan(t),\qquad y(0) = 0, \quad y'(0) = 0
\]
in terms of a convolution integral.
\answerspace

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