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 = 0.0106407 (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

\[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}{\it \_Y} \left ( x \right ) + \left ( A{\it WeierstrassP} \left ( x,{\it g2},{\it g3} \right ) +a \right ) {\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) +B{\it WeierstrassPPrime} \left ( x,{\it g2},{\it g3} \right ) {\it \_Y} \left ( x \right ) \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]