\[ \boxed { \left ( 2\,{x}^{2}y \left ( x \right ) +x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{x}^{2} \left ( y \left ( x \right ) \right ) ^{3}+2\,x \left ( y \left ( x \right ) \right ) ^{2}+y \left ( x \right ) =0} \]
Mathematica: cpu = 0.012502 (sec), leaf count = 80 \[ \left \{\left \{y(x)\to \frac {x}{\frac {\sqrt {x \left (c_1-2 \log (x)\right )+4 x}}{\sqrt {\frac {1}{x^3}}}-2 x^2}\right \},\left \{y(x)\to -\frac {x}{\frac {\sqrt {x \left (c_1-2 \log (x)\right )+4 x}}{\sqrt {\frac {1}{x^3}}}+2 x^2}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 59 \[ \left \{ y \left ( x \right ) ={\frac {1}{ \left ( 2\,\ln \left ( x \right ) -2\,{\it \_C1} \right ) x} \left ( -2+\sqrt {4-2\,\ln \left ( x \right ) +2\,{\it \_C1}} \right ) },y \left ( x \right ) =-{\frac {1}{ \left ( 2\,\ln \left ( x \right ) -2\,{\it \_C1} \right ) x} \left ( 2+ \sqrt {4-2\,\ln \left ( x \right ) +2\,{\it \_C1}} \right ) } \right \} \]