\[ y'(x) (\log (y(x))+x)-1=0 \] ✓ Mathematica : cpu = 0.157325 (sec), leaf count = 35
\[\text {Solve}\left [x=e^{y(x)} \left (\text {Ei}(-y(x))-e^{-y(x)} \log (y(x))\right )+c_1 e^{y(x)},y(x)\right ]\] ✓ Maple : cpu = 0.117 (sec), leaf count = 27
\[y \relax (x ) = {\mathrm e}^{\RootOf \left (-x -\textit {\_Z} -{\mathrm e}^{{\mathrm e}^{\textit {\_Z}}} \Ei \left (1, {\mathrm e}^{\textit {\_Z}}\right )+{\mathrm e}^{{\mathrm e}^{\textit {\_Z}}} c_{1}\right )}\]