\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-1/2\,{\frac { \left ( y \left ( x \right ) \right ) ^{2} \left ( {x}^{2}y \left ( x \right ) -2\,x-2\,xy \left ( x \right ) +y \left ( x \right ) \right ) }{ \left ( -2+xy \left ( x \right ) -2\,y \left ( x \right ) \right ) x}}=0} \]
Mathematica: cpu = 0.017002 (sec), leaf count = 135 \[ \left \{\left \{y(x)\to -\frac {4 x}{\frac {2 \sqrt {-4 x \left (c_1-2 \left (\frac {x^2}{8}-\frac {x}{2}+\frac {\log (x)}{4}\right )\right )-x (x-2)^2}}{\sqrt {-\frac {1}{x}}}-2 (x-2) x}\right \},\left \{y(x)\to \frac {4 x}{\frac {2 \sqrt {-4 x \left (c_1-2 \left (\frac {x^2}{8}-\frac {x}{2}+\frac {\log (x)}{4}\right )\right )-x (x-2)^2}}{\sqrt {-\frac {1}{x}}}+2 (x-2) x}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 41 \[ \left \{ y \left ( x \right ) =-4\, \left ( \sqrt {{\it \_C1}-8\,\ln \left ( x \right ) }-2\,x+4 \right ) ^{-1},y \left ( x \right ) =4\, \left ( \sqrt {{\it \_C1}-8\,\ln \left ( x \right ) }+2\,x-4 \right ) ^{ -1} \right \} \]