4.279   ODE No. 1279

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

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

Mathematica: cpu = 0.163021 (sec), leaf count = 74 $$\left\{\{y(x)\to c_1{x}^{\frac{1}{2}(\frac{\sqrt{17}}{4}-\frac{1}{4})}+c_2{x}^{\frac{1}{2}(-\frac{1}{4}-\frac{\sqrt{17}}{4})}-\frac{256(\log (x)+1)}{{(\sqrt{17}-1)}^2{(1+\sqrt{17})}^2}\}\right\}$$

Maple: cpu = 0.094 (sec), leaf count = 32 $$\{y\left(x\right)=x^{-\frac{1}{8}+\frac{\sqrt{17}}{8}}\mathit{\_}\mathit{C}\mathit{2}+x^{-\frac{1}{8}-\frac{\sqrt{17}}{8}}\mathit{\_}\mathit{C}\mathit{1}-\ln \left(x\right)-1\}$$