2.777   ODE No. 777

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

$$y^{\prime }(x)=\frac{y(x)(y(x)+1)}{x(xy(x{)}^4-y(x)-1)}$$ ✓ Mathematica : cpu = 0.205417 (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 = 0.392 (sec), leaf count = 51

$$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-5x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+2\mathit{\_}\mathit{C}\mathit{1}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2\mathit{\_}\mathit{Z}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+7x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-2\mathit{\_}\mathit{C}\mathit{1}x-2x\mathit{\_}\mathit{Z}-3x+2)}-1\}$$