(Solved): Find power series solutions in \( x \) (Madaunin Series) for the dfferential equation. Find the rad ...

Find power series solutions in \( x \) (Madaunin Series) for the dfferential equation. Find the radius of covergence of the series, and, if possible, express the solution in dosod form. \[ \left(1+x^{2}\right) y^{\prime \prime}+x y^{\prime}-y=0 \]