\[ y'(x) (\log (y(x))+x)-1=0 \] ✓ Mathematica : cpu = 0.0635984 (sec), leaf count = 35
\[\text {Solve}\left [x=c_1 e^{y(x)}+e^{y(x)} \left (\text {Ei}(-y(x))-e^{-y(x)} \log (y(x))\right ),y(x)\right ]\] ✓ Maple : cpu = 6.423 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -x-{\it \_Z}-{\it Ei} \left ( 1,{{\rm e}^{{\it \_Z}}} \right ) {{\rm e}^{{{\rm e}^{{\it \_Z}}}}}+{{\rm e}^{{{\rm e}^{{\it \_Z}}}}}{\it \_C1} \right ) }} \right \} \]