ODE No. 117

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

$$x{y}^{\prime }(x)+x(-e^{\frac{y(x)}{x}})-y(x)-x=0$$ ✓ Mathematica : cpu = 0.0278402 (sec), leaf count = 21

$$\left\{\{y(x)\to -x\log (\frac{e^{-c_1}}{x}-1)\}\right\}$$ ✓ Maple : cpu = 0.129 (sec), leaf count = 20

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