2.1542   ODE No. 1542

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

\[ a y''(x) \wp (x;\text {g2},\text {g3})+b y'(x) \wp '(x;\text {g2},\text {g3})+y(x) \left (c \left (6 \wp (x;\text {g2},\text {g3})^2-\frac {\text {g2}}{2}\right )+d\right )+y^{(4)}(x)=0 \] Mathematica : cpu = 0.0228804 (sec), leaf count = 0 , could not solve

DSolve[(d + c*(-g2/2 + 6*WeierstrassP[x, {g2, g3}]^2))*y[x] + b*WeierstrassPPrime[x, {g2, g3}]*Derivative[1][y][x] + a*WeierstrassP[x, {g2, g3}]*Derivative[2][y][x] + Derivative[4][y][x] == 0, y[x], x]

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

\[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {\frac {{\rm d}^{4}}{{\rm d}{x}^{4}}}{\it \_Y} \left ( x \right ) +a{\it WeierstrassP} \left ( x,{\it g2},{\it g3} \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) +b{\it WeierstrassPPrime} \left ( x,{\it g2},{\it g3} \right ) {\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) + \left ( 6\,c \left ( {\it WeierstrassP} \left ( x,{\it g2},{\it g3} \right ) \right ) ^{2}-{\frac {c{\it g2}}{2}}+d \right ) {\it \_Y} \left ( x \right ) \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]