6.11   ODE No. 1544

$$\boxed{{\displaystyle \mathit{d}\mathit{4}\mathit{y}\left(x\right)+10f\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+10\mathit{d}\mathit{f}\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+(3f^2+3\mathit{d}\mathit{d}\mathit{f})y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.014502 (sec), leaf count = 45 $$\text{DSolve}[y(x)(3f^{″}(x)+3f(x{)}^2)+10f^{\prime }(x)y^{\prime }(x)+10f(x)y^{″}(x)+y^{(4)}(x)=0,y(x),x]$$

Maple: cpu = 0.0 (sec), leaf count = 41 $$\{y\left(x\right)=\sum _{\mathit{\_}\mathit{a}=1}^4{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}({\mathit{\_}\mathit{Z}}^4+10f{\mathit{\_}\mathit{Z}}^2+10\mathit{d}\mathit{f}\mathit{\_}\mathit{Z}+3f^2+3\mathit{d}\mathit{d}\mathit{f},\mathit{i}\mathit{n}\mathit{d}\mathit{e}\mathit{x}=\mathit{\_}\mathit{a})x}{\mathit{\_}\mathit{C}}_{\mathit{\_}\mathit{a}}\}$$