2.985   ODE No. 985

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

$$y^{\prime }(x)=\frac{(xy(x)+1)(x^{2}y(x{)}^2+x^{2}y(x)+x^2+2xy(x)+x+1)}{x^5}$$ ✓ Mathematica : cpu = 0.222959 (sec), leaf count = 103

$$\text{Solve}[-\frac{17}{3}\text{RootSum}[-17{\mathrm{\#}\text{1}}^3+3\sqrt[3]{-34}\mathrm{\#}\text{1}-17\mathrm{\&},\frac{\log (\frac{\frac{x+3}{x^3}+\frac{3y(x)}{x^2}}{\sqrt[3]{34}\sqrt[3]{-\frac{1}{x^6}}}-\mathrm{\#}\text{1})}{\sqrt[3]{-34}-17{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1-\frac{1}{9}{34}^{2/3}{(-\frac{1}{x^6})}^{2/3}{x}^3,y(x)]$$

✓ Maple : cpu = 0.042 (sec), leaf count = 43

$$\{y\left(x\right)=\frac{17\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(162{\int }^{\mathit{\_}\mathit{Z}}{(289{\mathit{\_}\mathit{a}}^3+54\mathit{\_}\mathit{a}-54)}^{-1}d\mathit{\_}\mathit{a}x+3\mathit{\_}\mathit{C}\mathit{1}x+2)x-3x-9}{9x}\}$$