3.928   ODE No. 928

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{1}{x(1+x)}({\mathrm{e}}^{-\frac{y\left(x\right)}{x}}y\left(x\right)x+{\mathrm{e}}^{-\frac{y\left(x\right)}{x}}y\left(x\right)+{\mathrm{e}}^{-\frac{y\left(x\right)}{x}}{x}^2+{\mathrm{e}}^{-\frac{y\left(x\right)}{x}}x+x){\mathrm{e}}^{\frac{y\left(x\right)}{x}}=0}}$$

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

Mathematica: cpu = 1.365673 (sec), leaf count = 23 $$\left\{\{y(x)\to -x\log (-\frac{\log (x+1)-c_1}{x})\}\right\}$$

Maple: cpu = 0.265 (sec), leaf count = 21 $$\{y\left(x\right)=-\ln (-\frac{\ln (1+x)-\mathit{\_}\mathit{C}\mathit{1}}{x})x\}$$