4.26   ODE No. 1026

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

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

Mathematica: cpu = 0.184023 (sec), leaf count = 27 $$\text{DSolve}[y^{″}(x)-y(x)(B+n(n+1)\mathrm{\wp }(x;\text{g2},\text{g3}))=0,y(x),x]$$

Maple: cpu = 0.280 (sec), leaf count = 33 $$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+(-n(n+1)\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})-B)\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$