3.938   ODE No. 938

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

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

Mathematica: cpu = 0.063008 (sec), leaf count = 108 $$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{\frac{3x^2-3x+1}{x}+\frac{3y(x)}{x}}{\sqrt[3]{29}\sqrt[3]{\frac{1}{x^3}}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{1}{9}{29}^{2/3}{\left(\frac{1}{x^3}\right)}^{2/3}{x}^2\log (x),y(x)]$$

Maple: cpu = 0.031 (sec), leaf count = 39 $$\{y\left(x\right)=-x^2+x-\frac{1}{3}+\frac{29\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-81{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+\ln \left(x\right)+3\mathit{\_}\mathit{C}\mathit{1})}{9}\}$$