3.794   ODE No. 794

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

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

Mathematica: cpu = 0.091512 (sec), leaf count = 67 $$\text{Solve}[\text{RootSum}[{\mathrm{\#}\text{1}}^{3}y(x{)}^3+{\mathrm{\#}\text{1}}^{2}y(x{)}^2+1\mathrm{\&},\frac{\mathrm{\#}\text{1}y(x)\log (x-\mathrm{\#}\text{1})+\log (x-\mathrm{\#}\text{1})}{3\mathrm{\#}\text{1}y(x)+2}\mathrm{\&}]+y(x)-\log (x)=c_1,y(x)]$$

Maple: cpu = 0.390 (sec), leaf count = 32 $$\{-y\left(x\right)+{\int }^{xy\left(x\right)}\frac{1}{\mathit{\_}\mathit{a}({\mathit{\_}\mathit{a}}^3+{\mathit{\_}\mathit{a}}^2+1)}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$