3.840   ODE No. 840

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{1}{x}({\mathrm{e}}^{-\frac{y\left(x\right)}{x}}y\left(x\right)+{\mathrm{e}}^{-\frac{y\left(x\right)}{x}}x+x^3){\mathrm{e}}^{\frac{y\left(x\right)}{x}}=0}}$$

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

Mathematica: cpu = 0.096012 (sec), leaf count = 30 $$\left\{\{y(x)\to -x\log (\frac{e^{3c_1}}{3x}-\frac{x^2}{3})\}\right\}$$

Maple: cpu = 0.063 (sec), leaf count = 19 $$\{y\left(x\right)=\ln \left(3\frac{x}{-x^3+\mathit{\_}\mathit{C}\mathit{1}}\right)x\}$$