3.777   ODE No. 777

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

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

Mathematica: cpu = 0.086011 (sec), leaf count = 39 $$\text{Solve}[-\frac{1}{2}(y(x)+1{)}^2+2(y(x)+1)-\frac{1}{xy(x)}-\log (y(x)+1)=c_1,y(x)]$$

Maple: cpu = 0.125 (sec), leaf count = 51 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-5x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+2\mathit{\_}\mathit{C}\mathit{1}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2\mathit{\_}\mathit{Z}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+7x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-2\mathit{\_}\mathit{C}\mathit{1}x-2x\mathit{\_}\mathit{Z}-3x+2)}-1\}$$