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

\date{Spring 2006}

\begin{document}

\maketitle

\begin{enumerate}

\item
Find the general solution of the equation $y'' + 5y' + 6y = 0$

\vfill

\item
Find the general solution of the equation $2y'' -3y' - 2y = 0$

\vfill


\item
Find the general solution of the equation $6y'' + 5y' - 6y = 0$


\vfill

\clearpage

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


\vfill



\item
Solve the initial value problem
\begin{eqnarray*}
10y'' - y' - 3y & = & 0 \\
y(0) & = & 1 \\
y'(0) & = & 0
\end{eqnarray*}


\vfill


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



\vfill



\end{enumerate}





\end{document}