5.10   ODE No. 1458

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+(-n^2+1)\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+1/2((-n^2+1)\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})-a)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.018502 (sec), leaf count = 51 $$\text{DSolve}[\frac{1}{2}y(x)((1-n^2){\mathrm{\wp }}^{\prime }(x;\text{g2},\text{g3})-a)+(1-n^2)y^{\prime }(x)\mathrm{\wp }(x;\text{g2},\text{g3})+y^{(3)}(x)=0,y(x),x]$$

Maple: cpu = 0.218 (sec), leaf count = 59 $$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}\mathit{\_}\mathit{Y}\left(x\right)+(-n^2\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})+\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3}))\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+(-\frac{\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})n^2}{2}+\frac{\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})}{2}-\frac{a}{2})\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$