3.754   ODE No. 754

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

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

Mathematica: cpu = 0.027003 (sec), leaf count = 47 $$\text{Solve}[\text{RootSum}[{\mathrm{\#}\text{1}}^3+{\mathrm{\#}\text{1}}^2+1\mathrm{\&},\frac{\log (\frac{y(x)}{x}-\mathrm{\#}\text{1})}{3{\mathrm{\#}\text{1}}^2+2\mathrm{\#}\text{1}}\mathrm{\&}]=c_1+x,y(x)]$$

Maple: cpu = 0.016 (sec), leaf count = 26 $$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }^{\mathit{\_}\mathit{Z}}{({\mathit{\_}\mathit{a}}^3+{\mathit{\_}\mathit{a}}^2+1)}^{-1}d\mathit{\_}\mathit{a}+x+\mathit{\_}\mathit{C}\mathit{1})x\}$$