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{\bf Math 226.01: Differential Equations and Linear Algebra }
\\
{\bf Quiz 7}
\\
{\bf October 29, 1998}
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\vspace*{.4cm}

\underline{{\bf Name:}\hspace*{10cm}}

Assume $y=\sum_{n=0}^{\infty} a_n x^n$ is a solution of the differential 
equation 
\[
   y''-x y' -2y =0.
\]
Find the recurrence relation for the coefficients.
Find also the first six terms (that is, up to the power~$x^5$) in each of two 
linearly independent solutions. 


\vfill
\underline{{\bf Answer:}\hspace*{10cm}}

Sign the pledge:
``On my honor, I have neither given nor received unauthorized aid on this Exam.''

\underline{{\bf Signature:}\mbox{\hspace*{10cm}}}






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