5.28   ODE No. 1476

$$\boxed{{\displaystyle 27\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-36n^2\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2n(n+3)(4n-3)\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.128516 (sec), leaf count = 44 $$\text{DSolve}[-36n^2{y}^{\prime }(x)\mathrm{\wp }(x;\text{g2},\text{g3})-2(n+3)(4n-3)ny(x){\varphi }^{\prime }(x)+27y^{(3)}(x)=0,y(x),x]$$

Maple: cpu = 0.234 (sec), leaf count = 62 $$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{27\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}\mathit{\_}\mathit{Y}\left(x\right)-36n^2\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+(-8\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})n^3-18\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})n^2+18n\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3}))\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$