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\textbf{Math 325: Differential Equations}
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\textbf{Quiz 1}\quad \textsl{Sept. 11, 1996}

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Let $L[y] = y^{(4)} + 4y^{(3)} + 13y''$.

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\emph{a)} Find the general solution of the differential equation
$L[y] = 0$.

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\emph{b)} Using the method of undetermined coefficients, determine a
suitable form for a particular solution of the differential
equation $L[y] = x^2 + \sin(3x)$. Do not solve for the constants.

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