\[ (y(x)-2 x) y'(x)^2-2 (x-1) y'(x)+y(x)-2=0 \] ✓ Mathematica : cpu = 0.34837 (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 = 0.63 (sec), leaf count = 71
\[\left \{y \left (x \right ) = c_{1}+2-\sqrt {c_{1} \left (-c_{1}+2 x -2\right )}, y \left (x \right ) = \frac {c_{1}}{2}+2-\frac {\sqrt {c_{1} \left (-c_{1}+4 x -4\right )}}{2}, y \left (x \right ) = x +\left (x -1\right ) \sqrt {2}+1, y \left (x \right ) = -\sqrt {2}\, x +x +\sqrt {2}+1\right \}\]