\[ x^2 y'(x)^2-2 x y(x) y'(x)+y(x) (y(x)+1)-x=0 \] ✓ Mathematica : cpu = 0.0728798 (sec), leaf count = 61
\[\left \{\left \{y(x)\to \frac {1}{4} \left (4 x+c_1{}^2 x-4 i c_1 \sqrt {x}-4\right )\right \},\left \{y(x)\to \frac {1}{4} \left (4 x+c_1{}^2 x+4 i c_1 \sqrt {x}-4\right )\right \}\right \}\] ✓ Maple : cpu = 0.246 (sec), leaf count = 22
\[y \relax (x ) = x\]