2.1457   ODE No. 1457

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

\[ -3 y'(x) (a+2 \wp (x;\text {g2},\text {g3}))+b y(x)+y^{(3)}(x)=0 \] Mathematica : cpu = 0.0136866 (sec), leaf count = 0 , could not solve

DSolve[b*y[x] - 3*(a + 2*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

\[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}{\it \_Y} \left ( x \right ) + \left ( -6\,{\it WeierstrassP} \left ( x,{\it g2},{\it g3} \right ) -3\,a \right ) {\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) +b{\it \_Y} \left ( x \right ) \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]