\[ y'(x)=\log (y(x)-1) \left (\text {$\_$F1}(x)-\frac {\text {Ei}(-\log (y(x)-1))}{x}\right ) \] ✗ Mathematica : cpu = 0.805693 (sec), leaf count = 0 , could not solve
DSolve[Derivative[1][y][x] == Log[-1 + y[x]]*(-(ExpIntegralEi[-Log[-1 + y[x]]]/x) + _F1[x]), y[x], x]
✓ Maple : cpu = 0.207 (sec), leaf count = 27
\[\left \{y \left (x \right ) = {\mathrm e}^{\RootOf \left (c_{1} x +x \left (\int \frac {\textit {\_F1} \left (x \right )}{x}d x \right )+\Ei \left (1, -\textit {\_Z} \right )\right )}+1\right \}\]