2.341   ODE No. 341

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

$$(x{e}^{y(x)}+e^x)y^{\prime }(x)+e^{x}y(x)+e^{y(x)}=0$$ ✓ Mathematica : cpu = 0.0510445 (sec), leaf count = 33

$$\left\{\{y(x)\to c_1{e}^{-x}-W\left(x{e}^{c_1{e}^{-x}-x}\right)\}\right\}$$

✓ Maple : cpu = 0.059 (sec), leaf count = 30

$$\{y\left(x\right)=-\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(\frac{x}{{\mathrm{e}}^x}{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\mathrm{e}}^x}}\right)}^{-1}\right)-\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\mathrm{e}}^x}\}$$