8.186   ODE No. 1776

$$\boxed{{\displaystyle 8(-x^3+1)y\left(x\right)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-4(-x^3+1){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-12x^{2}y\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+3x{\left(y\left(x\right)\right)}^2=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 1.825 (sec), leaf count = 88 $$\{y\left(x\right)=\frac{{\mathit{\_}\mathit{C}\mathit{2}}^{2}x}{4\mathit{\_}\mathit{C}\mathit{1}}{\left(\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{P}(-\frac{1}{6},\frac{1}{3},\sqrt{-(x-1)(x^2+x+1)})\right)}^2+\mathit{\_}\mathit{C}\mathit{1}{\left(\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{Q}(-\frac{1}{6},\frac{1}{3},\sqrt{-(x-1)(x^2+x+1)})\right)}^{2}x+\mathit{\_}\mathit{C}\mathit{2}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{P}(-\frac{1}{6},\frac{1}{3},\sqrt{-(x-1)(x^2+x+1)})x\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{Q}(-\frac{1}{6},\frac{1}{3},\sqrt{-(x-1)(x^2+x+1)})\}$$