2.839   ODE No. 839

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

$$y^{\prime }(x)=\frac{e^{\frac{y(x)}{x}}(x^2+x{e}^{-\frac{y(x)}{x}}+e^{-\frac{y(x)}{x}}y(x))}{x}$$ ✓ Mathematica : cpu = 0.075339 (sec), leaf count = 28

$$\left\{\{y(x)\to -x\log (\frac{e^{2c_1}}{2x}-\frac{x}{2})\}\right\}$$

✓ Maple : cpu = 0.08 (sec), leaf count = 19

$$\{y\left(x\right)=\ln \left(2\frac{x}{-x^2+\mathit{\_}\mathit{C}\mathit{1}}\right)x\}$$