\[ (y(x)-2 x) y'(x)^2-2 (x-1) y'(x)+y(x)-2=0 \] ✓ Mathematica : cpu = 0.30818 (sec), leaf count = 165
\[\left \{\left \{y(x)\to \frac {1}{2} \left (-\sqrt {-4 e^{c_1} x+4 e^{c_1}-e^{2 c_1}}+4-e^{c_1}\right )\right \},\left \{y(x)\to \frac {1}{2} \left (\sqrt {-4 e^{c_1} x+4 e^{c_1}-e^{2 c_1}}+4-e^{c_1}\right )\right \},\left \{y(x)\to -\sqrt {-2 e^{c_1} x+2 e^{c_1}-e^{2 c_1}}+2-e^{c_1}\right \},\left \{y(x)\to \sqrt {-2 e^{c_1} x+2 e^{c_1}-e^{2 c_1}}+2-e^{c_1}\right \}\right \}\] ✓ Maple : cpu = 1.549 (sec), leaf count = 71
\[ \left \{ y \left ( x \right ) =2+{\it \_C1}-\sqrt {{\it \_C1}\, \left ( -{\it \_C1}+2\,x-2 \right ) },y \left ( x \right ) =2+{\frac {{\it \_C1}}{2}}-{\frac {1}{2}\sqrt {{\it \_C1}\, \left ( -{\it \_C1}+4\,x-4 \right ) }},y \left ( x \right ) = \left ( x-1 \right ) \sqrt {2}+x+1,y \left ( x \right ) =-\sqrt {2}x+\sqrt {2}+x+1 \right \} \]