\[ x^2 y'(x)^2-2 x y(x) y'(x)+y(x) (y(x)+1)-x=0 \] ✓ Mathematica : cpu = 0.0593743 (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 = 0.54 (sec), leaf count = 22
\[ \left \{ y \left ( x \right ) =x,y \left ( x \right ) ={\it \_C1}\,\sqrt {x}-{\frac {x{{\it \_C1}}^{2}}{4}}+x-1 \right \} \]