3.798   ODE No. 798

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

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

Mathematica: cpu = 0.552070 (sec), leaf count = 27 $$\text{Solve}[y(x{)}^2-\frac{x}{y(x)}+\log (y(x))-\log (x+1)=c_1,y(x)]$$

Maple: cpu = 0.109 (sec), leaf count = 30 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3+\ln (1+x){\mathrm{e}}^{\mathit{\_}\mathit{Z}}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+x)}\}$$