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\noindent Quiz 8

\noindent Math 230

\vskip .2in

\noindent Consider the differential equation
$$
xy'' + y = 0.
$$
\begin{itemize}
\item[(a)] Show that $x=0$ is a regular singular point.
\vskip 2in
\item[(b)] Find the indicial equation and determine its roots.
\vskip 2in
\item[(c)] Write down an appropriate form for the series solution $y(x)$
corresponding to the {\it larger} root.  Determine a
recurrence relation for the coefficients in the series.  (Use the
back of this quiz if needed...)
\end{itemize}



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