3.711   ODE No. 711

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

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

Mathematica: cpu = 0.073509 (sec), leaf count = 28 $$\left\{\{y(x)\to e^{c_1{e}^{-x}+e^{-x-1}\text{Ei}(x+1)}\}\right\}$$

Maple: cpu = 0.109 (sec), leaf count = 31 $$\{y\left(x\right)=1{\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\mathrm{e}}^x}}{\left({\mathrm{e}}^{\frac{\mathit{E}\mathit{i}(1,-1-x)}{{\mathrm{e}}^x\mathrm{e}}}\right)}^{-1}\}$$