\[ \boxed { x \left ( {x}^{2}+1 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +2\, \left ( {x}^{2}-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,xy \left ( x \right ) =0} \]
Mathematica: cpu = 0.026003 (sec), leaf count = 32 \[ \left \{\left \{y(x)\to \frac {c_1}{x^2+1}+\frac {c_2 x^3}{3 \left (x^2+1\right )}\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 26 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{{x}^{2}+1}}+{\frac {{ \it \_C2}\,{x}^{3}}{{x}^{2}+1}} \right \} \]