\[ -2 x^2 y'(x)^2+x^2 (y(x)-1) y''(x)-2 x (y(x)-1) y'(x)-2 (y(x)-1)^2 y(x)=0 \] ✓ Mathematica : cpu = 0.633634 (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 = 0.319 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={\frac {x \left ( {\it \_C1}\,x-{\it \_C2} \right ) }{{\it \_C1}\,{x}^{2}-{\it \_C2}\,x-1}} \right \} \]