5.23   ODE No. 1471

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

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

Mathematica: cpu = 0.080010 (sec), leaf count = 27 $$\text{DSolve}[f(x)y^{″}(x)+f(x)y(x)+y^{(3)}(x)+y^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 0.156 (sec), leaf count = 36 $$\{y\left(x\right)={\mathrm{e}}^{ix}(\int {\mathrm{e}}^{-2ix}(\int \mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{\int -f\left(x\right)+i\mathrm{d}x}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{2})\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})\}$$