\[ y'(x) (\log (y(x))+x)-1=0 \] ✓ Mathematica : cpu = 0.0659161 (sec), leaf count = 22
\[\text {Solve}\left [\log (y(x))+x=e^{y(x)} \left (c_1+\text {Ei}(-y(x))\right ),y(x)\right ]\]
✓ Maple : cpu = 0.11 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -x-{\it \_Z}-{\it Ei} \left ( 1,{{\rm e}^{{\it \_Z}}} \right ) {{\rm e}^{{{\rm e}^{{\it \_Z}}}}}+{\it \_C1}\,{{\rm e}^{{{\rm e}^{{\it \_Z}}}}} \right ) }} \right \} \]