3.934   ODE No. 934

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=x/2+1+{\left(y\left(x\right)\right)}^2+1/4x^{2}y\left(x\right)-xy\left(x\right)-1/8x^4+1/8x^3+1/4x^2+{\left(y\left(x\right)\right)}^3-3/4x^2{\left(y\left(x\right)\right)}^2-3/2x{\left(y\left(x\right)\right)}^2+3/16y\left(x\right)x^4+3/4x^{3}y\left(x\right)-\frac{x^6}{64}-\frac{3x^5}{32}=0}}$$

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

Mathematica: cpu = 0.099513 (sec), leaf count = 102 $$\text{Solve}[-\frac{31}{3}\text{RootSum}[-31{\mathrm{\#}\text{1}}^3+32^{2/3}\sqrt[3]{31}\mathrm{\#}\text{1}-31\mathrm{\&},\frac{\log (\sqrt[3]{\frac{2}{31}}(\frac{1}{4}(-3x^2-6x+4)+3y(x))-\mathrm{\#}\text{1})}{2^{2/3}\sqrt[3]{31}-31{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{1}{9}{\left(\frac{31}{2}\right)}^{2/3}x,y(x)]$$

Maple: cpu = 0.063 (sec), leaf count = 39 $$\{y\left(x\right)=\frac{x^2}{4}+\frac{x}{2}+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x+2{\int }^{\mathit{\_}\mathit{Z}}{(2{\mathit{\_}\mathit{a}}^3+2{\mathit{\_}\mathit{a}}^2+1)}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})\}$$