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\noindent Quiz 6


\noindent Math 226, Section 02

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\noindent Suppose that $y(x)$ solves the initial value problem
$$
y'' + xy' + y = 0, \quad y(0) = 2, \quad y'(0) = 1.
$$
Find the first four coefficients $c_0,\dots,c_3$ in the power series
$\sum_{n=0}^\infty c_n x^n$ centered at $0$ for $y$.  Also, write
down the recursion relation needed to find the other coefficients
in the power series.
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