(Solved): Find power series solutions in \( \times \) (Madaunin Series) for the differential equation. Find t ...

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