5.11   ODE No. 1459

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-(4n(n+1)\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})+a)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2n(n+1)\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.018002 (sec), leaf count = 43 $$\text{DSolve}[-y^{\prime }(x)(a+4n(n+1)\mathrm{\wp }(x;\text{g2},\text{g3}))-2n(n+1)y(x){\mathrm{\wp }}^{\prime }(x;\text{g2},\text{g3})+y^{(3)}(x)=0,y(x),x]$$

Maple: cpu = 0.297 (sec), leaf count = 41 $$\{y\left(x\right)={\left(\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+(-n^2\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})-n\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})-\frac{a}{4})\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\right)}^2\}$$