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\title{Math 1b. Second-Order Homogeneous Differential Equations with Constant Coefficients (II)}

\date{Spring 2006}

\begin{document}

\maketitle

\begin{enumerate}

\item
Find the general solution of the equation $y'' + 4y = 0$

\vfill

\item
Find the general solution of the equation $y'' + 2y' + 17y = 0$

\vfill

\item
Find the general solution of the equation $y'' - 6y' + 9y = 0$

\vfill

\clearpage

\item
Solve the initial value problem
\begin{eqnarray*}
y'' +2 y' + 3y & = & 0 \\
y(0) & = & 1 \\
y'(0) & = & 0
\end{eqnarray*}

\vfill



\item
Solve the initial value problem
\begin{eqnarray*}
y'' - 4y' + 13y & = & 0 \\
y(0) & = & 4 \\
y'(0) & = & 0
\end{eqnarray*}

\vfill


\item
Solve the initial value problem
\begin{eqnarray*}
y'' + 10y' + 25y & = & 0 \\
y(0) & = & 2 \\
y'(0) & = & -1
\end{eqnarray*}

\vfill




\end{enumerate}


\end{document}