2.1460   ODE No. 1460

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

\[ y'(x) (a+A \wp (x;\text {g2},\text {g3}))+B y(x) \wp '(x;\text {g2},\text {g3})+y^{(3)}(x)=0 \] Mathematica : cpu = 0.0132418 (sec), leaf count = 0 , 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 , result contains DESol

\[\{y \left (x \right ) = \mathit {DESol}\left (\left \{B \textit {\_Y} \left (x \right ) \mathcal {P}^{\prime }\left (x ;\mathit {g2} ,\mathit {g3} \right )+\left (A \WeierstrassP \left (x , \mathit {g2} , \mathit {g3}\right )+a \right ) \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )+\frac {d^{3}}{d x^{3}}\textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\}\]