2.843   ODE No. 843

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

$$y^{\prime }(x)=\frac{2x^{3}y(x){\log }^2(x)+x^{3}y(x{)}^2\log (x)+x^3{\log }^3(x)+y(x)}{x\log (x)}$$ ✓ Mathematica : cpu = 0.125893 (sec), leaf count = 198

$$\left\{\{y(x)\to -\frac{c_1{e}^{\frac{1}{9}{x}^3(3\log (x)-1)}(\frac{x^2}{3}+\frac{1}{3}{x}^2(3\log (x)-1))+\frac{1}{9}{x}^3{e}^{\frac{1}{9}{x}^3(3\log (x)-1)}(3\log (x)-1)(\frac{x^2}{3}+\frac{1}{3}{x}^2(3\log (x)-1))+\frac{1}{3}{x}^2{e}^{\frac{1}{9}{x}^3(3\log (x)-1)}+\frac{1}{3}{x}^2{e}^{\frac{1}{9}{x}^3(3\log (x)-1)}(3\log (x)-1)}{x^2(c_1{e}^{\frac{1}{9}{x}^3(3\log (x)-1)}+\frac{1}{9}{x}^3{e}^{\frac{1}{9}{x}^3(3\log (x)-1)}(3\log (x)-1))}\}\right\}$$

✓ Maple : cpu = 0.025 (sec), leaf count = 43

$$\{y\left(x\right)=-\frac{\ln \left(x\right)(6x^3\ln \left(x\right)-2x^3+9\mathit{\_}\mathit{C}\mathit{1}+18)}{6x^3\ln \left(x\right)-2x^3+9\mathit{\_}\mathit{C}\mathit{1}}\}$$