2.1458   ODE No. 1458

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

$$\frac{1}{2}y(x)((1-n^2){\mathrm{\wp }}^{\prime }(x;\text{g2},\text{g3})-a)+(1-n^2)y^{\prime }(x)\mathrm{\wp }(x;\text{g2},\text{g3})+y^{(3)}(x)=0$$ ✗ Mathematica : cpu = 0.0190531 (sec), leaf count = 0 , could not solve

DSolve[((-a + (1 - n^2)*WeierstrassPPrime[x, {g2, g3}])*y[x])/2 + (1 - n^2)*WeierstrassP[x, {g2, g3}]*Derivative[1][y][x] + Derivative[3][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

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