3.936   ODE No. 936

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-x/4+1+{\left(y\left(x\right)\right)}^2+\frac{7x^{2}y\left(x\right)}{16}-1/2xy\left(x\right)+\frac{5x^4}{128}-\frac{5x^3}{64}+1/16x^2+{\left(y\left(x\right)\right)}^3+3/8x^2{\left(y\left(x\right)\right)}^2-3/4x{\left(y\left(x\right)\right)}^2+\frac{3y\left(x\right)x^4}{64}-3/16x^{3}y\left(x\right)+\frac{x^6}{512}-\frac{3x^5}{256}=0}}$$

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

Mathematica: cpu = 0.094012 (sec), leaf count = 99 $$\text{Solve}[-\frac{89}{3}\text{RootSum}[-89{\mathrm{\#}\text{1}}^3+6\sqrt[3]{178}\mathrm{\#}\text{1}-89\mathrm{\&},\frac{\log (\frac{2^{2/3}(\frac{1}{8}(3x^2-6x+8)+3y(x))}{\sqrt[3]{89}}-\mathrm{\#}\text{1})}{2\sqrt[3]{178}-89{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{{89}^{2/3}x}{18\sqrt[3]{2}},y(x)]$$

Maple: cpu = 0.046 (sec), leaf count = 39 $$\{y\left(x\right)=-\frac{x^2}{8}+\frac{x}{4}+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x+4{\int }^{\mathit{\_}\mathit{Z}}{(4{\mathit{\_}\mathit{a}}^3+4{\mathit{\_}\mathit{a}}^2+3)}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})\}$$