2.711   ODE No. 711

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

$$y^{\prime }(x)=\frac{y(x)(-x\log (y(x))-\log (y(x))+1)}{x+1}$$ ✓ Mathematica : cpu = 0.263492 (sec), leaf count = 28

$$\left\{\{y(x)\to e^{e^{-x-1}\text{Ei}(x+1)+c_1{e}^{-x}}\}\right\}$$ ✓ Maple : cpu = 0.266 (sec), leaf count = 31

$$\{y\left(x\right)={\mathrm{e}}^{c_1{\mathrm{e}}^{-x}}{\mathrm{e}}^{-\mathrm{expIntegral}(1,-x-1){\mathrm{e}}^{-x-1}}\}$$