\[ \boxed { 2\,{x}^{2}y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}-2\,{x}^{3}-{x}^{2}=0} \]
Mathematica: cpu = 0.012502 (sec), leaf count = 43 \[ \left \{\left \{y(x)\to -\sqrt {c_1 e^{\frac {1}{x}}+x^2}\right \},\left \{y(x)\to \sqrt {c_1 e^{\frac {1}{x}}+x^2}\right \}\right \} \]
Maple: cpu = 0.016 (sec), leaf count = 33 \[ \left \{ y \left ( x \right ) =\sqrt {{{\rm e}^{{x}^{-1}}}{\it \_C1}+{x} ^{2}},y \left ( x \right ) =-\sqrt {{{\rm e}^{{x}^{-1}}}{\it \_C1}+{x}^{ 2}} \right \} \]