\[ (x-y(x)) y''(x)+2 y'(x) \left (y'(x)+1\right )=0 \] ✓ Mathematica : cpu = 0.369755 (sec), leaf count = 38
\[\left \{\left \{y(x)\to -\frac {e^{-c_1} \left (e^{c_1} c_2 x+1+e^{c_1} c_2{}^2\right )}{x+c_2}\right \}\right \}\] ✓ Maple : cpu = 1.575 (sec), leaf count = 21
\[y \relax (x ) = \frac {-x c_{2}+c_{2}^{2}+c_{1}}{c_{2}-x}\]