3.930   ODE No. 930

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{1}{x(1+x)}({\mathrm{e}}^{-\frac{y\left(x\right)}{x}}y\left(x\right)x+{\mathrm{e}}^{-\frac{y\left(x\right)}{x}}y\left(x\right)+{\mathrm{e}}^{-\frac{y\left(x\right)}{x}}{x}^2+{\mathrm{e}}^{-\frac{y\left(x\right)}{x}}x+x^4){\mathrm{e}}^{\frac{y\left(x\right)}{x}}=0}}$$

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

Mathematica: cpu = 1.567699 (sec), leaf count = 39 $$\left\{\{y(x)\to -x\log \left(\frac{-c_1-\frac{x^3}{3}+\frac{x^2}{2}-x+\log (x+1)}{x}\right)\}\right\}$$

Maple: cpu = 0.436 (sec), leaf count = 36 $$\{y\left(x\right)=-\ln \left(\frac{-2x^3+3x^2+6\ln (1+x)-6\mathit{\_}\mathit{C}\mathit{1}-6x}{6x}\right)x\}$$