2.1476   ODE No. 1476

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

$$-36n^2{y}^{\prime }(x)\mathrm{\wp }(x;\text{g2},\text{g3})-2(n+3)(4n-3)ny(x){\varphi }^{\prime }(x)+27y^{(3)}(x)=0$$ ✗ Mathematica : cpu = 0.166206 (sec), leaf count = 0 , could not solve

DSolve[-2*n*(3 + n)*(-3 + 4*n)*y[x]*Derivative[1][phi][x] - 36*n^2*WeierstrassP[x, {g2, g3}]*Derivative[1][y][x] + 27*Derivative[3][y][x] == 0, y[x], x]

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

$$\{y\left(x\right)=\mathit{DESol}(\{-36n^2\mathrm{WeierstrassP}(x,\mathit{g}\mathit{2},\mathit{g}\mathit{3})\left(\frac{d}{dx}\mathit{\text{\_Y}}\left(x\right)\right)+(-8n^3{\mathcal{P}}^{\prime }(x;\mathit{g}\mathit{2},\mathit{g}\mathit{3})-18n^2{\mathcal{P}}^{\prime }(x;\mathit{g}\mathit{2},\mathit{g}\mathit{3})+18n{\mathcal{P}}^{\prime }(x;\mathit{g}\mathit{2},\mathit{g}\mathit{3}))\mathit{\text{\_Y}}\left(x\right)+27\frac{d^3}{d{x}^3}\mathit{\text{\_Y}}\left(x\right)\},\left\{\mathit{\text{\_Y}}\left(x\right)\right\})\}$$