5.46   ODE No. 1494

$$\boxed{{\displaystyle x^2\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+5x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+4\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-\ln \left(x\right)=0}}$$

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

Mathematica: cpu = 0.027003 (sec), leaf count = 43 $$\left\{\{y(x)\to -\frac{c_1}{x}-\frac{2c_2}{x}-\frac{2c_2\log (x)}{x}+c_3-\frac{x}{2}+\frac{1}{4}x\log (x)\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 25 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+\frac{\mathit{\_}\mathit{C}\mathit{2}\ln \left(x\right)}{x}+\frac{\mathit{\_}\mathit{C}\mathit{3}}{x}+\frac{x(\ln \left(x\right)-2)}{4}\}$$