3.920   ODE No. 920

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=2\frac{{\left(y\left(x\right)\right)}^6(1+4x{\left(y\left(x\right)\right)}^2+{\left(y\left(x\right)\right)}^2)}{{\left(y\left(x\right)\right)}^3+4{\left(y\left(x\right)\right)}^{5}x+{\left(y\left(x\right)\right)}^5+2+24x{\left(y\left(x\right)\right)}^2+96x^2{\left(y\left(x\right)\right)}^4+128x^3{\left(y\left(x\right)\right)}^6}=0}}$$

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

Mathematica: cpu = 0.244531 (sec), leaf count = 301 $$\{\{y(x)\to \text{Root}[{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^3(64c_{1}x-2)+64{\mathrm{\#}\text{1}}^{2}x+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},1]\},\{y(x)\to \text{Root}[{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^3(64c_{1}x-2)+64{\mathrm{\#}\text{1}}^{2}x+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},2]\},\{y(x)\to \text{Root}[{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^3(64c_{1}x-2)+64{\mathrm{\#}\text{1}}^{2}x+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},3]\},\{y(x)\to \text{Root}[{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^3(64c_{1}x-2)+64{\mathrm{\#}\text{1}}^{2}x+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},4]\},\{y(x)\to \text{Root}[{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^3(64c_{1}x-2)+64{\mathrm{\#}\text{1}}^{2}x+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},5]\}\}$$

Maple: cpu = 0 (sec), leaf count = 0 $$\text{hanged}$$