3.762   ODE No. 762

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

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

Mathematica: cpu = 0.060508 (sec), leaf count = 26 $$\left\{\{y(x)\to (x+1{)}^{-1/x}{e}^{1-\frac{c_1}{x}}\}\right\}$$

Maple: cpu = 0.093 (sec), leaf count = 22 $$\{y\left(x\right)=\frac{\mathrm{e}}{\sqrt[x]{1+x}}{\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}}\}$$