3.800   ODE No. 800

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-b^3+6b^{2}x-12b{x}^2+8x^3-4b{\left(y\left(x\right)\right)}^2+8x{\left(y\left(x\right)\right)}^2+8{\left(y\left(x\right)\right)}^3}{{(2x-b)}^3}=0}}$$

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

Mathematica: cpu = 0.176022 (sec), leaf count = 128 $$\text{Solve}[-\frac{19}{3}\text{RootSum}[-19{\mathrm{\#}\text{1}}^3+6\sqrt[3]{38}\mathrm{\#}\text{1}-19\mathrm{\&},\frac{\log (\frac{\frac{4}{(b-2x{)}^2}-\frac{24y(x)}{(b-2x{)}^3}}{4\sqrt[3]{38}\sqrt[3]{\frac{1}{(b-2x{)}^6}}}-\mathrm{\#}\text{1})}{2\sqrt[3]{38}-19{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=\frac{1}{9}{38}^{2/3}{\left(\frac{1}{(b-2x{)}^6}\right)}^{2/3}(b-2x{)}^4\log (b-2x)+c_1,y(x)]$$

Maple: cpu = 0.015 (sec), leaf count = 41 $$\{y\left(x\right)=\frac{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }^{\mathit{\_}\mathit{Z}}{({\mathit{\_}\mathit{a}}^3-{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}-1)}^{-1}d\mathit{\_}\mathit{a}+\ln (-2x+b)+\mathit{\_}\mathit{C}\mathit{1})(-2x+b)}{2}\}$$