\[ y'(x) (\log (y(x))+2 x-1)-2 y(x)=0 \] ✓ Mathematica : cpu = 0.202776 (sec), leaf count = 23
\[\left \{\left \{y(x)\to -\frac {W\left (-2 c_1 e^{-2 x}\right )}{2 c_1}\right \}\right \}\] ✓ Maple : cpu = 0.063 (sec), leaf count = 19
\[\{y \left (x \right ) = {\mathrm e}^{-2 x -\LambertW \left (-2 c_{1} {\mathrm e}^{-2 x}\right )}\}\]