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 = 0.351181 (sec), leaf count = 82

$$\left\{\{y(x)\to x\tan \left(\frac{1}{2}(-8e\text{Ei}\left(\frac{2}{x-1}\right)+e^{\frac{x}{x-1}+\frac{1}{x-1}}{x}^2+2e^{\frac{x}{x-1}+\frac{1}{x-1}}x-3e^{\frac{x}{x-1}+\frac{1}{x-1}}+2c_1)\right)\}\right\}$$ ✓ Maple : cpu = 0.22 (sec), leaf count = 42

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