4.174   ODE No. 1174

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

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

Mathematica: cpu = 0.018002 (sec), leaf count = 33 $$\left\{\{y(x)\to c_2{x}^2+c_{1}x+\frac{1}{144}(12x^5\log (x)-7x^5)\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 24 $$\{y\left(x\right)=x\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1}{x}^2+\frac{x^5(12\ln \left(x\right)-7)}{144}\}$$