2.906   ODE No. 906

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

$$y^{\prime }(x)=\frac{x(x^2+y(x{)}^2+1)}{3x^{4}y(x{)}^2+3x^{2}y(x{)}^4-x^{2}y(x)+x^6+y(x{)}^6-y(x{)}^3-y(x)}$$ ✓ Mathematica : cpu = 0.121226 (sec), leaf count = 326

$$\{\{y(x)\to \text{Root}[8{\mathrm{\#}\text{1}}^3{x}^2+{\mathrm{\#}\text{1}}^2(2-8c_1{x}^2)+4{\mathrm{\#}\text{1}}^5-4{\mathrm{\#}\text{1}}^4{c}_1+4\mathrm{\#}\text{1}{x}^4+2x^2-4c_1{x}^4+1\mathrm{\&},1]\},\{y(x)\to \text{Root}[8{\mathrm{\#}\text{1}}^3{x}^2+{\mathrm{\#}\text{1}}^2(2-8c_1{x}^2)+4{\mathrm{\#}\text{1}}^5-4{\mathrm{\#}\text{1}}^4{c}_1+4\mathrm{\#}\text{1}{x}^4+2x^2-4c_1{x}^4+1\mathrm{\&},2]\},\{y(x)\to \text{Root}[8{\mathrm{\#}\text{1}}^3{x}^2+{\mathrm{\#}\text{1}}^2(2-8c_1{x}^2)+4{\mathrm{\#}\text{1}}^5-4{\mathrm{\#}\text{1}}^4{c}_1+4\mathrm{\#}\text{1}{x}^4+2x^2-4c_1{x}^4+1\mathrm{\&},3]\},\{y(x)\to \text{Root}[8{\mathrm{\#}\text{1}}^3{x}^2+{\mathrm{\#}\text{1}}^2(2-8c_1{x}^2)+4{\mathrm{\#}\text{1}}^5-4{\mathrm{\#}\text{1}}^4{c}_1+4\mathrm{\#}\text{1}{x}^4+2x^2-4c_1{x}^4+1\mathrm{\&},4]\},\{y(x)\to \text{Root}[8{\mathrm{\#}\text{1}}^3{x}^2+{\mathrm{\#}\text{1}}^2(2-8c_1{x}^2)+4{\mathrm{\#}\text{1}}^5-4{\mathrm{\#}\text{1}}^4{c}_1+4\mathrm{\#}\text{1}{x}^4+2x^2-4c_1{x}^4+1\mathrm{\&},5]\}\}$$ ✓ Maple : cpu = 0.323 (sec), leaf count = 37

$$\{-\frac{1}{4{({\left(y\left(x\right)\right)}^2+x^2)}^2}-{(2{\left(y\left(x\right)\right)}^2+2x^2)}^{-1}-y\left(x\right)+\mathit{\_}\mathit{C}\mathit{1}=0\}$$