\[ x^2 (y(x)-1) y''(x)-2 x^2 y'(x)^2-2 x (y(x)-1) y'(x)-2 (y(x)-1)^2 y(x)=0 \] ✓ Mathematica : cpu = 0.671995 (sec), leaf count = 28
\[\left \{\left \{y(x)\to 1+\frac {1}{x^2 \left (-\frac {1}{x^2}-\frac {c_1}{x}+c_2\right )}\right \}\right \}\] ✓ Maple : cpu = 0.939 (sec), leaf count = 26
\[y \relax (x ) = \frac {x \left (c_{1} x -c_{2}\right )}{c_{1} x^{2}-x c_{2}-1}\]