\[ y'(x)=-\frac {y(x)^2 \left (x^2 y(x)-2 x y(x)+y(x)-2 x\right )}{2 x (x y(x)-2 y(x)-2)} \] ✓ Mathematica : cpu = 0.190116 (sec), leaf count = 135
\[\left \{\left \{y(x)\to -\frac {4 x}{-2 (x-2) x+\frac {2 \sqrt {-x (x-2)^2-4 x \left (-2 \left (\frac {x^2}{8}-\frac {x}{2}+\frac {\log (x)}{4}\right )+c_1\right )}}{\sqrt {-\frac {1}{x}}}}\right \},\left \{y(x)\to \frac {4 x}{2 (x-2) x+\frac {2 \sqrt {-x (x-2)^2-4 x \left (-2 \left (\frac {x^2}{8}-\frac {x}{2}+\frac {\log (x)}{4}\right )+c_1\right )}}{\sqrt {-\frac {1}{x}}}}\right \}\right \}\] ✓ Maple : cpu = 0.151 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) =-4\, \left ( \sqrt {{\it \_C1}-8\,\ln \left ( x \right ) }-2\,x+4 \right ) ^{-1},y \left ( x \right ) =4\, \left ( \sqrt {{\it \_C1}-8\,\ln \left ( x \right ) }+2\,x-4 \right ) ^{-1} \right \} \]