5.24   ODE No. 1472

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

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

Mathematica: cpu = 0.081010 (sec), leaf count = 34 $$\text{DSolve}[f(x)(x^2{y}^{″}(x)-2x{y}^{\prime }(x)+2y(x))+y^{(3)}(x)=0,y(x),x]$$

Maple: cpu = 0.141 (sec), leaf count = 33 $$\{y\left(x\right)=(\int \mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}\int {\mathrm{e}}^{-\int x^{2}f\left(x\right)+3x^{-1}\mathrm{d}x}\mathrm{d}x\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{3})x\}$$