\[ y'(x)=-\frac {1}{-e^{y(x)} y(x) \text {$\_$F1}(y(x)-\log (x))-x} \] ✓ Mathematica : cpu = 0.274051 (sec), leaf count = 59
\[\text {Solve}\left [-\int _1^{y(x)-\log (x)}\frac {K[1] \text {$\_$F1}(K[1])+e^{-K[1]}}{\text {$\_$F1}(K[1])}dK[1]-y(x) \log (x)+\frac {\log ^2(x)}{2}=-c_1,y(x)\right ]\] ✓ Maple : cpu = 0.467 (sec), leaf count = 43
\[\frac {\ln \relax (x )^{2}}{2}-y \relax (x ) \ln \relax (x )-\left (\int _{}^{y \relax (x )-\ln \relax (x )}\frac {\textit {\_F1} \left (\textit {\_a} \right ) \textit {\_a} +{\mathrm e}^{-\textit {\_a}}}{\textit {\_F1} \left (\textit {\_a} \right )}d \textit {\_a} \right )+c_{1} = 0\]