2.688   ODE No. 688

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

$$y^{\prime }(x)=\frac{e^{\frac{x+1}{x-1}}{x}^3+e^{\frac{x+1}{x-1}}xy(x{)}^2+y(x)}{x}$$ ✓ Mathematica : cpu = 0.102983 (sec), leaf count = 78

$$\left\{\{y(x)\to x\tan \left(\frac{1}{2}(2c_1-8e\text{Ei}\left(\frac{2}{x-1}\right)+e^{\frac{x}{x-1}+\frac{1}{x-1}}{x}^2+2e^{\frac{x}{x-1}+\frac{1}{x-1}}x-3e^{\frac{2}{x-1}+1})\right)\}\right\}$$

✓ Maple : cpu = 0.062 (sec), leaf count = 61

$$\{y\left(x\right)=\tan (\frac{x^2}{2}{\mathrm{e}}^{\frac{1+x}{x-1}}+x{\mathrm{e}}^{\frac{1+x}{x-1}}+4\mathrm{e}\mathit{E}\mathit{i}(1,-2{(x-1)}^{-1})-\frac{3}{2}{\mathrm{e}}^{\frac{1+x}{x-1}}+\mathit{\_}\mathit{C}\mathit{1})x\}$$