2.724   ODE No. 724

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

$$y^{\prime }(x)=-\frac{y(x{)}^3}{x(-y(x)+y(x)\log (x)-1)}$$ ✓ Mathematica : cpu = 13.9802 (sec), leaf count = 422

$$\text{Solve}[-\frac{\sqrt[3]{-2}(\frac{1-y(x)(\log (x)-4)}{\sqrt[3]{2}\sqrt[3]{-\frac{1}{(\log (x)-1{)}^3}}(\log (x)-1)(y(x)(\log (x)-1)-1)}+(-2{)}^{2/3})(\frac{2^{2/3}(y(x)(\log (x)-4)-1)}{\sqrt[3]{-\frac{1}{(\log (x)-1{)}^3}}(\log (x)-1)(y(x)(\log (x)-1)-1)}+(-2{)}^{2/3})(\log (\frac{2^{2/3}(1-y(x)(\log (x)-4))}{\sqrt[3]{-\frac{1}{(\log (x)-1{)}^3}}(\log (x)-1)(y(x)(\log (x)-1)-1)}+2(-2{)}^{2/3})(\frac{\sqrt[3]{-1}(1-y(x)(\log (x)-4))}{\sqrt[3]{-\frac{1}{(\log (x)-1{)}^3}}(\log (x)-1)(y(x)(\log (x)-1)-1)}+1)-\log (\frac{2^{2/3}(y(x)(\log (x)-4)-1)}{\sqrt[3]{-\frac{1}{(\log (x)-1{)}^3}}(\log (x)-1)(y(x)(\log (x)-1)-1)}+(-2{)}^{2/3})(\frac{\sqrt[3]{-1}(1-y(x)(\log (x)-4))}{\sqrt[3]{-\frac{1}{(\log (x)-1{)}^3}}(\log (x)-1)(y(x)(\log (x)-1)-1)}+1)+3)}{9(\frac{(y(x)(\log (x)-4)-1{)}^3}{(y(x)(\log (x)-1)-1{)}^3}+\frac{3\sqrt[3]{-1}(y(x)(\log (x)-4)-1)}{{(-\frac{1}{(\log (x)-1{)}^3})}^{4/3}(\log (x)-1{)}^4(y(x)(\log (x)-1)-1)}+2)}=\frac{1}{9}{2}^{2/3}{(-\frac{1}{(\log (x)-1{)}^3})}^{2/3}\log (x)(\log (x)-1{)}^2+c_1,y(x)]$$ ✓ Maple : cpu = 0.092 (sec), leaf count = 18

$$\{y\left(x\right)={(-\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-2}x\right)+\ln \left(x\right)-2)}^{-1}\}$$