\[ (y(x)-2 x) y'(x)^2-2 (x-1) y'(x)+y(x)-2=0 \] ✓ Mathematica : cpu = 0.422507 (sec), leaf count = 137
\[\left \{\left \{y(x)\to -\frac {1}{2} \sqrt {-e^{c_1} \left (e^{c_1}+4 x-4\right )}-\frac {e^{c_1}}{2}+2\right \},\left \{y(x)\to \frac {1}{2} \left (\sqrt {-e^{c_1} \left (e^{c_1}+4 x-4\right )}-e^{c_1}+4\right )\right \},\left \{y(x)\to -\sqrt {-e^{c_1} \left (e^{c_1}+2 x-2\right )}-e^{c_1}+2\right \},\left \{y(x)\to \sqrt {-e^{c_1} \left (e^{c_1}+2 x-2\right )}-e^{c_1}+2\right \}\right \}\]
✓ Maple : cpu = 3.27 (sec), leaf count = 71
\[ \left \{ y \left ( x \right ) =2+{\it \_C1}-\sqrt {{\it \_C1}\, \left ( -{\it \_C1}+2\,x-2 \right ) },y \left ( x \right ) =2+{\frac {{\it \_C1}}{2}}-{\frac {1}{2}\sqrt {{\it \_C1}\, \left ( -{\it \_C1}+4\,x-4 \right ) }},y \left ( x \right ) = \left ( x-1 \right ) \sqrt {2}+x+1,y \left ( x \right ) =-\sqrt {2}x+\sqrt {2}+x+1 \right \} \]