2.967   ODE No. 967

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

$$y^{\prime }(x)=-\frac{x(64x^9-288x^{8}y(x)-96x^8+432x^{7}y(x{)}^2+288x^{7}y(x)-144x^7-216x^{6}y(x{)}^3-216x^{6}y(x{)}^2-288x^{6}y(x)-456x^6+864x^{5}y(x{)}^2+1008x^{5}y(x)-576x^5-648x^{4}y(x{)}^3-972x^{4}y(x{)}^2-216x^{4}y(x)-864x^4+432x^{3}y(x{)}^2+720x^{3}y(x)-756x^3-648x^{2}y(x{)}^3-1296x^{2}y(x{)}^2-594x^{2}y(x)-1134x^2-216y(x{)}^3-540y(x{)}^2-378y(x)-432x-513)}{216{(x^2+1)}^4}$$ ✓ Mathematica : cpu = 0.18452 (sec), leaf count = 143

$$\text{Solve}[174\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{{\left(\frac{x^3}{{(x^2+1)}^3}\right)}^{2/3}(x^2+1)(-4x^3+6x^{2}y(x)+2x^2+6y(x)+5)}{2\sqrt[3]{29}{x}^2}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]+18c_1+\frac{{29}^{2/3}x\log (x^2+1)}{\sqrt[3]{\frac{x^3}{{(x^2+1)}^3}}(x^2+1)}=0,y(x)]$$

✓ Maple : cpu = 0.1 (sec), leaf count = 91

$$\{y\left(x\right)=\frac{58\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-162{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+\ln (x^2+1)+6\mathit{\_}\mathit{C}\mathit{1})x^2+12x^3-6x^2+58\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-162{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+\ln (x^2+1)+6\mathit{\_}\mathit{C}\mathit{1})-15}{18x^2+18}\}$$