2.1542   ODE No. 1542

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

$$a{y}^{″}(x)\mathrm{\wp }(x;\text{g2},\text{g3})+b{y}^{\prime }(x){\mathrm{\wp }}^{\prime }(x;\text{g2},\text{g3})+y(x)(c(6\mathrm{\wp }(x;\text{g2},\text{g3}{)}^2-\frac{\text{g2}}{2})+d)+y^{(4)}(x)=0$$ ✗ Mathematica : cpu = 0.0282207 (sec), leaf count = 0 , could not solve

DSolve[(d + c*(-g2/2 + 6*WeierstrassP[x, {g2, g3}]^2))*y[x] + b*WeierstrassPPrime[x, {g2, g3}]*Derivative[1][y][x] + a*WeierstrassP[x, {g2, g3}]*Derivative[2][y][x] + Derivative[4][y][x] == 0, y[x], x]

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

$$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^4}{\mathrm{d}{x}^4}\mathit{\_}\mathit{Y}\left(x\right)+a\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+b\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}\mathit{P}\mathit{r}\mathit{i}\mathit{m}\mathit{e}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+(6c{\left(\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})\right)}^2-\frac{c\mathit{g}\mathit{2}}{2}+d)\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$