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