2.702   ODE No. 702

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

$$y^{\prime }(x)=\frac{-x^3+x^3(-\log (x))-xy(x{)}^2+xy(x)-e^{x}y(x)-xy(x{)}^2\log (x)}{x(x-e^x)}$$ ✓ Mathematica : cpu = 2.52406 (sec), leaf count = 37

$$\left\{\{y(x)\to x\tan ({\int }_1^x\frac{K[1](\log (K[1])+1)}{e^{K[1]}-K[1]}dK[1]+c_1)\}\right\}$$ ✓ Maple : cpu = 0.24 (sec), leaf count = 35

$$\{y\left(x\right)=\tan (\int \frac{x\ln \left(x\right)}{{\mathrm{e}}^x-x}\mathrm{d}x+\int \frac{x}{{\mathrm{e}}^x-x}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})x\}$$