2.809   ODE No. 809

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

$$y^{\prime }(x)=\frac{64x^3-240x^2+64xy(x{)}^2+64y(x{)}^3-80y(x{)}^2+300x-125}{(4x-5{)}^3}$$ ✓ Mathematica : cpu = 0.259583 (sec), leaf count = 118

$$\text{Solve}[57\text{RootSum}[-19{\mathrm{\#}\text{1}}^3+6\sqrt[3]{38}\mathrm{\#}\text{1}-19\mathrm{\&},\frac{\log (\frac{12y(x)+4x-5}{\sqrt[3]{38}\sqrt[3]{\frac{1}{(5-4x{)}^6}}(4x-5{)}^3}-\mathrm{\#}\text{1})}{2\sqrt[3]{38}-19{\mathrm{\#}\text{1}}^2}\mathrm{\&}]+9c_1+{38}^{2/3}{\left(\frac{1}{(5-4x{)}^6}\right)}^{2/3}(5-4x{)}^4\log (5-4x)=0,y(x)]$$

✓ Maple : cpu = 0.035 (sec), leaf count = 41

$$\{y\left(x\right)=-\frac{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }^{\mathit{\_}\mathit{Z}}{({\mathit{\_}\mathit{a}}^3-{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}-1)}^{-1}d\mathit{\_}\mathit{a}+\ln (4x-5)+\mathit{\_}\mathit{C}\mathit{1})(4x-5)}{4}\}$$