4.308   ODE No. 1308

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

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

Mathematica: cpu = 0.018502 (sec), leaf count = 41 $$\left\{\{y(x)\to c_{1}x+c_{2}x\log (x)+\frac{2{\log }^3(x)+6{\log }^2(x)+9\log (x)+6}{8x}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 36 $$\{y\left(x\right)=x\mathit{\_}\mathit{C}\mathit{2}+x\ln \left(x\right)\mathit{\_}\mathit{C}\mathit{1}+\frac{2{(\ln \left(x\right))}^3+6{(\ln \left(x\right))}^2+9\ln \left(x\right)+6}{8x}\}$$