\[ \boxed { \left ( 2\,{x}^{2}y \left ( x \right ) -x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,x \left ( y \left ( x \right ) \right ) ^{2}-y \left ( x \right ) =0} \]
Mathematica: cpu = 0.864110 (sec), leaf count = 33 \[ \left \{\left \{y(x)\to -\frac {1}{2 x W\left (\frac {2 e^{\frac {9 c_1}{2^{2/3}}-1}}{x^2}\right )}\right \}\right \} \]
Maple: cpu = 0.094 (sec), leaf count = 18 \[ \left \{ y \left ( x \right ) =-{\frac {1}{2\,x} \left ( {\it lambertW} \left ( -{\frac {{\it \_C1}}{2\,{x}^{2}}} \right ) \right ) ^{-1}} \right \} \]