3.828   ODE No. 828

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{(1+2y\left(x\right))(1+y\left(x\right))}{x(-2y\left(x\right)-2+x{\left(y\left(x\right)\right)}^3+2x{\left(y\left(x\right)\right)}^4)}=0}}$$

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

Mathematica: cpu = 0.208027 (sec), leaf count = 56 $$\text{Solve}[-\frac{1}{8}y(x{)}^2+\frac{3y(x)}{8}-\frac{1}{2x(2y(x)+1)}-\frac{1}{2}\log (y(x)+1)+\frac{1}{16}\log (2y(x)+1)=c_1,y(x)]$$

Maple: cpu = 0.202 (sec), leaf count = 54 $$\{y\left(x\right)=\frac{1}{2}{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-8x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+16\ln (1/2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+1/2)x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+16\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}x-2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{Z}x+7x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+16)}-\frac{1}{2}\}$$