2.899   ODE No. 899

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

$$y^{\prime }(x)=\frac{x^{6}y(x{)}^3+x^{6}y(x{)}^2+\frac{3}{4}{x}^{4}y(x{)}^2+\frac{1}{2}{x}^{4}y(x)+\frac{3}{16}{x}^{2}y(x)+x^6+\frac{x^5}{2}+\frac{x^2}{16}+\frac{1}{64}}{x^8}$$ ✓ Mathematica : cpu = 0.188566 (sec), leaf count = 106

$$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{\frac{3y(x)}{x^2}+\frac{4x^2+3}{4x^4}}{\sqrt[3]{29}\sqrt[3]{\frac{1}{x^6}}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=-\frac{1}{9}{29}^{2/3}{\left(\frac{1}{x^6}\right)}^{2/3}{x}^3+c_1,y(x)]$$ ✓ Maple : cpu = 0.138 (sec), leaf count = 47

$$\{y\left(x\right)=\frac{116\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-81{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}x+3\mathit{\_}\mathit{C}\mathit{1}x-1)x^2-12x^2-9}{36x^2}\}$$