3.910   ODE No. 910

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-2x-y\left(x\right)+1+x^2{\left(y\left(x\right)\right)}^2+2x^{3}y\left(x\right)+x^4+x^3{\left(y\left(x\right)\right)}^3+3x^4{\left(y\left(x\right)\right)}^2+3x^{5}y\left(x\right)+x^6}{x}=0}}$$

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

Mathematica: cpu = 0.057507 (sec), leaf count = 98 $$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{3x^3+3x^{2}y(x)+x}{\sqrt[3]{29}\sqrt[3]{x^3}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{{29}^{2/3}{\left(x^3\right)}^{2/3}}{9x},y(x)]$$

Maple: cpu = 0.016 (sec), leaf count = 42 $$\{y\left(x\right)=\frac{-9x^2+29\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-81{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+x+3\mathit{\_}\mathit{C}\mathit{1})-3}{9x}\}$$