2.890   ODE No. 890

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

$$y^{\prime }(x)=\frac{x}{x^6+3x^{4}y(x{)}^2+x^4+3x^{2}y(x{)}^4+2x^{2}y(x{)}^2+y(x{)}^6+y(x{)}^4-y(x)+1}$$ ✓ Mathematica : cpu = 0.213356 (sec), leaf count = 103

$$\text{Solve}[y(x)-\frac{1}{2}\text{RootSum}[{\mathrm{\#}\text{1}}^3+3{\mathrm{\#}\text{1}}^{2}y(x{)}^2+{\mathrm{\#}\text{1}}^2+3\mathrm{\#}\text{1}y(x{)}^4+2\mathrm{\#}\text{1}y(x{)}^2+y(x{)}^6+y(x{)}^4+1\mathrm{\&},\frac{\log (x^2-\mathrm{\#}\text{1})}{3{\mathrm{\#}\text{1}}^2+6\mathrm{\#}\text{1}y(x{)}^2+2\mathrm{\#}\text{1}+3y(x{)}^4+2y(x{)}^2}\mathrm{\&}]=c_1,y(x)]$$ ✓ Maple : cpu = 0.655 (sec), leaf count = 34

$$\{-c_1+\frac{\left({\int }_{}^{x^2+y{\left(x\right)}^2}\frac{1}{{\mathit{\text{\_a}}}^3+{\mathit{\text{\_a}}}^2+1}d\mathit{\text{\_a}}\right)}{2}-y\left(x\right)=0\}$$