2.920   ODE No. 920

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

$$y^{\prime }(x)=\frac{2y(x{)}^6(4xy(x{)}^2+y(x{)}^2+1)}{128x^{3}y(x{)}^6+96x^{2}y(x{)}^4+4xy(x{)}^5+y(x{)}^5+y(x{)}^3+24xy(x{)}^2+2}$$ ✓ Mathematica : cpu = 0.402761 (sec), leaf count = 301

$$\{\{y(x)\to \text{Root}[128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+64{\mathrm{\#}\text{1}}^{2}x+{\mathrm{\#}\text{1}}^3(-2+64c_{1}x)+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},1]\},\{y(x)\to \text{Root}[128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+64{\mathrm{\#}\text{1}}^{2}x+{\mathrm{\#}\text{1}}^3(-2+64c_{1}x)+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},2]\},\{y(x)\to \text{Root}[128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+64{\mathrm{\#}\text{1}}^{2}x+{\mathrm{\#}\text{1}}^3(-2+64c_{1}x)+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},3]\},\{y(x)\to \text{Root}[128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+64{\mathrm{\#}\text{1}}^{2}x+{\mathrm{\#}\text{1}}^3(-2+64c_{1}x)+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},4]\},\{y(x)\to \text{Root}[128{\mathrm{\#}\text{1}}^4{x}^2+{\mathrm{\#}\text{1}}^5(128c_1{x}^2-8x-1)+64{\mathrm{\#}\text{1}}^{2}x+{\mathrm{\#}\text{1}}^3(-2+64c_{1}x)+8\mathrm{\#}\text{1}{c}_1+8\mathrm{\&},5]\}\}$$ ✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(y(x),x) = 2*y(x)^6*(1+4*x*y(x)^2+y(x)^2)/(y(x)^3+4*y(x)^5*x+y(x)^5+2+24*x*y(x)^2+96*x^2*y(x)^4+128*x^3*y(x)^6),y(x))