2.886   ODE No. 886

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

$$y^{\prime }(x)=\frac{x^{6}y(x{)}^3-3x^{5}y(x{)}^2+x^{4}y(x{)}^2+3x^{4}y(x)-4x^{3}y(x)-x^3+2x^2+1}{x^4}$$ ✓ Mathematica : cpu = 0.169137 (sec), leaf count = 82

$$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{3x^{2}y(x)-3x+1}{\sqrt[3]{29}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=-\frac{{29}^{2/3}}{9x}+c_1,y(x)]$$ ✓ Maple : cpu = 0.133 (sec), leaf count = 42

$$\{y\left(x\right)=\frac{9x-3+29\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-81{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}x+3\mathit{\_}\mathit{C}\mathit{1}x-1)}{9x^2}\}$$