5.15   ODE No. 1463

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

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

Mathematica: cpu = 0.072509 (sec), leaf count = 26 $$\text{DSolve}[y(x)f^{\prime }(x)+2f(x)y^{\prime }(x)+y^{(3)}(x)=0,y(x),x]$$

Maple: cpu = 0.063 (sec), leaf count = 24 $$\{y\left(x\right)={\left(\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+\frac{f\left(x\right)\mathit{\_}\mathit{Y}\left(x\right)}{2}\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\right)}^2\}$$