\[ y'(x) (a+A \wp (x;\text {g2},\text {g3}))+B y(x) \wp '(x;\text {g2},\text {g3})+y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 0.0116189 (sec), leaf count = 0
DSolve[B*WeierstrassPPrime[x, {g2, g3}]*y[x] + (a + A*WeierstrassP[x, {g2, g3}])*Derivative[1][y][x] + Derivative[3][y][x] == 0,y[x],x]
, could not solve
DSolve[B*WeierstrassPPrime[x, {g2, g3}]*y[x] + (a + A*WeierstrassP[x, {g2, g3}])*Derivative[1][y][x] + Derivative[3][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve(diff(diff(diff(y(x),x),x),x)+(A*WeierstrassP(x,g2,g3)+a)*diff(y(x),x)+B*WeierstrassPPrime(x,g2,g3)*y(x)=0,y(x))
, result contains DESol or ODESolStruc
\[y \left (x \right ) = \mathit {DESol}\left (\left \{\frac {d^{3}}{d x^{3}}\textit {\_Y} \left (x \right )+\left (A \WeierstrassP \left (x , \mathit {g2} , \mathit {g3}\right )+a \right ) \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )+B \mathcal {P}^{\prime }\left (x ;\mathit {g2} ,\mathit {g3} \right ) \textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]