\[ \boxed { {x}^{2} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}-2\,xy \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) \left ( 1+y \left ( x \right ) \right ) -x=0} \]
Mathematica: cpu = 0.037005 (sec), leaf count = 61 \[ \left \{\left \{y(x)\to \frac {1}{4} \left (c_1^2 x-4 i c_1 \sqrt {x}+4 x-4\right )\right \},\left \{y(x)\to \frac {1}{4} \left (c_1^2 x+4 i c_1 \sqrt {x}+4 x-4\right )\right \}\right \} \]
Maple: cpu = 0.671 (sec), leaf count = 22 \[ \left \{ y \left ( x \right ) =x,y \left ( x \right ) ={\it \_C1}\,\sqrt { x}-{\frac {x{{\it \_C1}}^{2}}{4}}+x-1 \right \} \]