4.183   ODE No. 1183

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

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

Mathematica: cpu = 0.024003 (sec), leaf count = 27 $$\left\{\{y(x)\to c_1{x}^5+\frac{c_2}{x}-\frac{1}{9}{x}^2\log (x)\}\right\}$$

Maple: cpu = 0.0 (sec), leaf count = 22 $$\{y\left(x\right)=x^5\mathit{\_}\mathit{C}\mathit{2}-\frac{x^2\ln \left(x\right)}{9}+\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}\}$$