3.886   ODE No. 886

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

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

Mathematica: cpu = 0.054507 (sec), leaf count = 82 $$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{3x^{2}y(x)-3x+1}{\sqrt[3]{29}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1-\frac{{29}^{2/3}}{9x},y(x)]$$

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