4.310   ODE No. 1310

$$\boxed{{\displaystyle x^3\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+3x^2\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+xy\left(x\right)-1=0}}$$

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

Mathematica: cpu = 0.010001 (sec), leaf count = 31 $$\left\{\{y(x)\to \frac{c_1}{x}+\frac{c_2\log (x)}{x}+\frac{{\log }^2(x)}{2x}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 20 $$\{y\left(x\right)=\frac{1}{x}(\frac{{(\ln \left(x\right))}^2}{2}+\mathit{\_}\mathit{C}\mathit{1}\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{2})\}$$