\[ x^2 (y(x)-1) y''(x)-2 x^2 y'(x)^2-2 x (y(x)-1) y'(x)-2 (y(x)-1)^2 y(x)=0 \] ✓ Mathematica : cpu = 0.931015 (sec), leaf count = 22
\[\left \{\left \{y(x)\to \frac {1}{c_2 x^2-c_1 x-1}+1\right \}\right \}\]
✓ Maple : cpu = 0.093 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={\frac {x \left ( {\it \_C1}\,x-{\it \_C2} \right ) }{{\it \_C1}\,{x}^{2}-{\it \_C2}\,x-1}} \right \} \]