5.25   ODE No. 1473

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

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

Mathematica: cpu = 0.012002 (sec), leaf count = 38 $$\text{DSolve}[y(x)(f(x)g(x)+g^{\prime }(x))+f(x)y^{″}(x)+g(x)y^{\prime }(x)+y^{(3)}(x)=0,y(x),x]$$

Maple: cpu = 0.046 (sec), leaf count = 47 $$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}\mathit{\_}\mathit{Y}\left(x\right)+f\left(x\right)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+g\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+(f\left(x\right)g\left(x\right)+\frac{\mathrm{d}}{\mathrm{d}x}g\left(x\right))\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$