\[ \boxed { x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +x \left ( y \left ( x \right ) \right ) ^{2}- \left ( 2\,{x}^{2}+1 \right ) y \left ( x \right ) -{x}^{3}=0} \]
Mathematica: cpu = 0.097012 (sec), leaf count = 90 \[ \left \{\left \{y(x)\to \frac {x \left (e^{2 \sqrt {2} c_1}-\sqrt {2} e^{2 \sqrt {2} c_1}+e^{\sqrt {2} x^2}+\sqrt {2} e^{\sqrt {2} x^2}\right )}{e^{2 \sqrt {2} c_1}+e^{\sqrt {2} x^2}}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 29 \[ \left \{ y \left ( x \right ) ={\frac {\sqrt {2}x}{2} \left ( \sqrt {2}+2 \,\tanh \left ( 1/2\, \left ( {x}^{2}+2\,{\it \_C1} \right ) \sqrt {2} \right ) \right ) } \right \} \]