4.128   ODE No. 1128

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

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

Mathematica: cpu = 0.244031 (sec), leaf count = 29 $$\text{DSolve}[(xf(x)+2)y^{\prime }(x)+f(x)y(x)+x{y}^{″}(x)=0,y(x),x]$$

Maple: cpu = 0.156 (sec), leaf count = 35 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}+\frac{\mathit{\_}\mathit{C}\mathit{2}}{x}\int {\mathrm{e}}^{\int \frac{-xf\left(x\right)-2}{x}\mathrm{d}x}{x}^2\mathrm{d}x\}$$