2.893   ODE No. 893

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

$$y^{\prime }(x)=\frac{x^{3}y(x{)}^3+x^{3}y(x{)}^2+6x^{2}y(x{)}^2+4x^{2}y(x)+x^3+12xy(x)+6x+8}{x^3}$$ ✓ Mathematica : cpu = 0.161096 (sec), leaf count = 80

$$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{3y(x)+\frac{x+6}{x}}{\sqrt[3]{29}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=\frac{1}{9}{29}^{2/3}x+c_1,y(x)]$$ ✓ Maple : cpu = 0.109 (sec), leaf count = 41

$$\{y\left(x\right)=\frac{29\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-81{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+x+3\mathit{\_}\mathit{C}\mathit{1})x-3x-18}{9x}\}$$