3.870   ODE No. 870

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{1}{x}({\mathrm{e}}^{-\frac{y\left(x\right)}{x}}y\left(x\right)+{\mathrm{e}}^{-\frac{y\left(x\right)}{x}}x+x+x^3+x^4){\mathrm{e}}^{\frac{y\left(x\right)}{x}}=0}}$$

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

Mathematica: cpu = 1.681213 (sec), leaf count = 35 $$\left\{\{y(x)\to -x\log \left(\frac{-c_1-\frac{x^4}{4}-\frac{x^3}{3}-x}{x}\right)\}\right\}$$

Maple: cpu = 0.702 (sec), leaf count = 30 $$\{y\left(x\right)=-\ln (-\frac{3x^4+4x^3+12\mathit{\_}\mathit{C}\mathit{1}+12x}{12x})x\}$$