\[ (x-1) x^2 y'(x)-(x-2) x y(x)-y(x)^2=0 \] ✓ Mathematica : cpu = 0.166339 (sec), leaf count = 22
\[\left \{\left \{y(x)\to -\frac {x^2}{c_1 x-1-c_1}\right \}\right \}\] ✓ Maple : cpu = 0.023 (sec), leaf count = 17
\[\left \{y \left (x \right ) = \frac {x^{2}}{c_{1} \left (x -1\right )+1}\right \}\]