\[ \boxed { {x}^{2} \left ( x-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{2}-x \left ( x-2 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.016002 (sec), leaf count = 22 \[ \left \{\left \{y(x)\to -\frac {x^2}{c_1 x-c_1-1}\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 18 \[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}}{{\it \_C1}\,x-{\it \_C1} +1}} \right \} \]