4.166   ODE No. 1166

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

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

Mathematica: cpu = 0.012502 (sec), leaf count = 23 $$\left\{\{y(x)\to c_{1}x+c_{2}x\log (x)+\frac{3x^3}{4}\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 18 $$\{y\left(x\right)=x\mathit{\_}\mathit{C}\mathit{2}+x\ln \left(x\right)\mathit{\_}\mathit{C}\mathit{1}+\frac{3x^3}{4}\}$$