\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( 2\,x+2+y \left ( x \right ) \right ) y \left ( x \right ) }{ \left ( \ln \left ( y \left ( x \right ) \right ) +2\,x-1 \right ) \left ( 1+x \right ) }}=0} \]
Mathematica: cpu = 0.495063 (sec), leaf count = 29 \[ \left \{\left \{y(x)\to \frac {W\left (e^{-2 x} \left (c_1+\log (x+1)\right )\right )}{c_1+\log (x+1)}\right \}\right \} \]
Maple: cpu = 0.187 (sec), leaf count = 25 \[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\it lambertW} \left ( \left ( \ln \left ( 1+x \right ) -{\it \_C1} \right ) {{\rm e}^{-2\,x}} \right ) -2\,x}} \right \} \]