2.880   ODE No. 880

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

$$y^{\prime }(x)=-\frac{2a}{128a^4{x}^3-96a^3{x}^{2}y(x{)}^2-32a^3{x}^2+24a^{2}xy(x{)}^4+16a^{2}xy(x{)}^2-2ay(x{)}^6-2ay(x{)}^4-2a-y(x)}$$ ✓ Mathematica : cpu = 0.171469 (sec), leaf count = 126

$$\text{Solve}[8a{c}_1=\frac{\text{RootSum}[-64{\mathrm{\#}\text{1}}^3{a}^3+48{\mathrm{\#}\text{1}}^2{a}^{2}y(x{)}^2+16{\mathrm{\#}\text{1}}^2{a}^2-12\mathrm{\#}\text{1}ay(x{)}^4-8\mathrm{\#}\text{1}ay(x{)}^2+y(x{)}^6+y(x{)}^4+1\mathrm{\&},\frac{\log (x-\mathrm{\#}\text{1})}{48{\mathrm{\#}\text{1}}^2{a}^2-24\mathrm{\#}\text{1}ay(x{)}^2-8\mathrm{\#}\text{1}a+3y(x{)}^4+2y(x{)}^2}\mathrm{\&}]}{a}+4y(x),y(x)]$$

✓ Maple : cpu = 0.085 (sec), leaf count = 41

$$\{\frac{y\left(x\right)}{2a}+\frac{{\int }^{{\left(y\left(x\right)\right)}^2-4ax}{({\mathit{\_}\mathit{a}}^3+{\mathit{\_}\mathit{a}}^2+1)}^{-1}d\mathit{\_}\mathit{a}}{8a^2}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$