\[ \boxed { \left ( \ln \left ( y \left ( x \right ) \right ) +2\,x-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,y \left ( x \right ) =0} \]
Mathematica: cpu = 0.018502 (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 = 0.016 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\it lambertW} \left ( -2\,{ {\rm e}^{-2\,x}}{\it \_C1} \right ) -2\,x}} \right \} \]