3.778   ODE No. 778

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-3x^{2}y\left(x\right)+1+x^6{\left(y\left(x\right)\right)}^2+{\left(y\left(x\right)\right)}^3{x}^9}{x^3}=0}}$$

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

Mathematica: cpu = 0.063008 (sec), leaf count = 95 $$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{3x^{6}y(x)+x^3}{\sqrt[3]{29}\sqrt[3]{x^9}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{{29}^{2/3}{\left(x^9\right)}^{2/3}}{9x^5},y(x)]$$

Maple: cpu = 0.031 (sec), leaf count = 37 $$\{y\left(x\right)=\frac{-3+29\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-81{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+x+3\mathit{\_}\mathit{C}\mathit{1})}{9x^3}\}$$