3.809   ODE No. 809

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-125+300x-240x^2+64x^3-80{\left(y\left(x\right)\right)}^2+64x{\left(y\left(x\right)\right)}^2+64{\left(y\left(x\right)\right)}^3}{{(4x-5)}^3}=0}}$$

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

Mathematica: cpu = 0.153020 (sec), leaf count = 128 $$\text{Solve}[-\frac{19}{3}\text{RootSum}[-19{\mathrm{\#}\text{1}}^3+6\sqrt[3]{38}\mathrm{\#}\text{1}-19\mathrm{\&},\frac{\log (\frac{\frac{192y(x)}{(4x-5{)}^3}+\frac{16}{(4x-5{)}^2}}{16\sqrt[3]{38}\sqrt[3]{\frac{1}{(4x-5{)}^6}}}-\mathrm{\#}\text{1})}{2\sqrt[3]{38}-19{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{1}{9}{38}^{2/3}{\left(\frac{1}{(5-4x{)}^6}\right)}^{2/3}(5-4x{)}^4\log (5-4x),y(x)]$$

Maple: cpu = 0.015 (sec), leaf count = 41 $$\{y\left(x\right)=-\frac{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }^{\mathit{\_}\mathit{Z}}{({\mathit{\_}\mathit{a}}^3-{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}-1)}^{-1}d\mathit{\_}\mathit{a}+\ln (4x-5)+\mathit{\_}\mathit{C}\mathit{1})(4x-5)}{4}\}$$