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Suppose $y=sum_{n=0}^{infty} a_{n} x^{n}$ on an open interval $I$ that contains the origin. Express the following as a simplified power series in $x$ on $I$.
Suppose $y=\sum_{n=0}^{\infty} a_{n} x^{n}$ on an open interval $I$ that contains the origin. Express the following as a simplified power series in $x$ on $I$. $$ \begin{array}{c} (1+5 x) y^{\prime \prime}+(-5 x) y^{\prime} +2 y=\sum_{n=1}^{\infty}\left[\square a_{n+2}+ ight. \end{array} $$ CS. JG.092
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