2.867   ODE No. 867

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

$$y^{\prime }(x)=\frac{x^6}{27}+\frac{1}{3}{x}^{4}y(x)+\frac{x^4}{9}+x^{2}y(x{)}^2+\frac{2}{3}{x}^{2}y(x)+y(x{)}^3+y(x{)}^2-\frac{2x}{3}+1$$ ✓ Mathematica : cpu = 0.0648902 (sec), leaf count = 77

$$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{x^2+3y(x)+1}{\sqrt[3]{29}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{1}{9}{29}^{2/3}x,y(x)]$$

✓ Maple : cpu = 0.067 (sec), leaf count = 30

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