3.768   ODE No. 768

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

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

Mathematica: cpu = 0.977124 (sec), leaf count = 70 $$\text{Solve}[-\frac{2^{2/3}(xy(x)(\log \left(\frac{xy(x)}{(x-1)y(x)-1}\right)-\log \left(\frac{y(x)+1}{-xy(x)+y(x)+1}\right)-\log (x)-1+\log (2))+1)}{9xy(x)}=c_1,y(x)]$$

Maple: cpu = 0.062 (sec), leaf count = 26 $$\{y\left(x\right)=-{(x\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(\frac{1}{x\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{x^{-1}}}\right)+1)}^{-1}\}$$