3.862   ODE No. 862

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-(\frac{\mathit{E}\mathit{i}(1,-\ln (-1+y\left(x\right)))}{x}-\mathit{\_}\mathit{F}\mathit{1}\left(x\right))\ln (-1+y\left(x\right))=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 1.114141 (sec), leaf count = 32 $$\text{DSolve}[y^{\prime }(x)=\log (y(x)-1)(\mathrm{\_}\text{F1}(x)-\frac{\text{Ei}(-\log (y(x)-1))}{x}),y(x),x]$$

Maple: cpu = 0.172 (sec), leaf count = 27 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\int \frac{\mathit{\_}\mathit{F}\mathit{1}\left(x\right)}{x}\mathrm{d}xx+x\mathit{\_}\mathit{C}\mathit{1}+\mathit{E}\mathit{i}(1,-\mathit{\_}\mathit{Z}))}+1\}$$