3.943   ODE No. 943

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-128xy\left(x\right)-24x^3+32x^2-128x+512{\left(y\left(x\right)\right)}^3+192x^2{\left(y\left(x\right)\right)}^2-384x{\left(y\left(x\right)\right)}^2+24y\left(x\right)x^4-96x^{3}y\left(x\right)+96x^{2}y\left(x\right)+x^6-6x^5+12x^4}{512y\left(x\right)+64x^2-128x+512}=0}}$$

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

Mathematica: cpu = 0.394550 (sec), leaf count = 53 $$\text{Solve}[x-16\text{RootSum}[6656{\mathrm{\#}\text{1}}^3-23\mathrm{\#}\text{1}-1\mathrm{\&},\mathrm{\#}\text{1}\log (79872{\mathrm{\#}\text{1}}^2-18304\mathrm{\#}\text{1}+181x^2+1448y(x)-362x-184)\mathrm{\&}]=c_1,y(x)]$$

Maple: cpu = 0.047 (sec), leaf count = 40 $$\{y\left(x\right)=-\frac{x^2}{8}+\frac{x}{4}+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x+{\int }^{\mathit{\_}\mathit{Z}}4\frac{\mathit{\_}\mathit{a}+1}{4{\mathit{\_}\mathit{a}}^3-\mathit{\_}\mathit{a}-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})\}$$