3.933   ODE No. 933

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-\frac{-x^2-xy\left(x\right)-x^3-x{\left(y\left(x\right)\right)}^2+2y\left(x\right)x^2\ln \left(x\right)-x^3{(\ln \left(x\right))}^2-{\left(y\left(x\right)\right)}^3+3x{\left(y\left(x\right)\right)}^2\ln \left(x\right)-3x^2{(\ln \left(x\right))}^{2}y\left(x\right)+x^3{(\ln \left(x\right))}^3}{x^2}=0}}$$

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

Mathematica: cpu = 0.061008 (sec), leaf count = 99 $$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{\frac{3y(x)}{x^2}+\frac{1-3\log (x)}{x}}{\sqrt[3]{29}\sqrt[3]{\frac{1}{x^3}}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{{29}^{2/3}}{9\sqrt[3]{\frac{1}{x^3}}},y(x)]$$

Maple: cpu = 0.031 (sec), leaf count = 39 $$\{y\left(x\right)=\frac{x(9\ln \left(x\right)-3+29\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-81{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+x+3\mathit{\_}\mathit{C}\mathit{1}))}{9}\}$$