2.862   ODE No. 862

$$y^{\prime }(x)=\log (y(x)-1)(\mathrm{\_}\text{F1}(x)-\frac{\text{Ei}(-\log (y(x)-1))}{x})$$

✗ Mathematica : cpu = 0.494515 (sec), leaf count = 0

DSolve[Derivative[1][y][x] == Log[-1 + y[x]]*(-(ExpIntegralEi[-Log[-1 + y[x]]]/x) + _F1[x]),y[x],x]
 

, 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 = 0.164 (sec), leaf count = 27

dsolve(diff(y(x),x) = -(1/x*Ei(1,-ln(-1+y(x)))-_F1(x))*ln(-1+y(x)),y(x))
 

$$y\left(x\right)={\mathrm{e}}^{\mathrm{RootOf}((\int \frac{\mathit{\text{\_F1}}\left(x\right)}{x}dx)x+x{c}_1+{\mathrm{Ei}}_1(-\mathit{\text{\_Z}}))}+1$$