2.754   ODE No. 754

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

$$y^{\prime }(x)=\frac{x^3+xy(x{)}^2+xy(x)+y(x{)}^3}{x^2}$$ ✓ Mathematica : cpu = 0.0244826 (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 = 0.018 (sec), leaf count = 26

$$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }^{\mathit{\_}\mathit{Z}}{({\mathit{\_}\mathit{a}}^3+{\mathit{\_}\mathit{a}}^2+1)}^{-1}d\mathit{\_}\mathit{a}+x+\mathit{\_}\mathit{C}\mathit{1})x\}$$