\[ \boxed { \left ( {x}^{2}+1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,xy \left ( x \right ) -2\,{x}^{2}=0} \]
Mathematica: cpu = 0.008001 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to \frac {c_1}{x^2+1}+\frac {2 x^3}{3 \left (x^2+1\right )}\right \}\right \} \]
Maple: cpu = 0.0 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}+1} \left ( {\frac {2\,{ x}^{3}}{3}}+{\it \_C1} \right ) } \right \} \]