\[ y'(x) (\log (y(x))+2 x-1)-2 y(x)=0 \] ✓ Mathematica : cpu = 0.170154 (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 = 0.028 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\it lambertW} \left ( -2\,{{\rm e}^{-2\,x}}{\it \_C1} \right ) -2\,x}} \right \} \]