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\textbf{Math 325: Differential Equations}
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\textbf{Quiz 3}\quad \textsl{Oct. 16, 1996}

\begin{enumerate}

\problemspace
\item
Transform the initial value problem
\[
y''' - t\,y' + t^3\,y = \cos(t),\quad y(0)=1,\quad y'(0)=0,\quad y''(0)=-2
\]
into a system of first order equations with initial conditions.

\answerspace

\problemspace
\item
Find the eigenvalues and corresponding eigenvectors of the matrix
\[
\left[ \begin{array}{cc}
-11 &  5 \\
-30 & 14 \\
\end{array} \right]
\]
\answerspace

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