ODE No. 1578

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

a4y(x)λ(axb)(y(x)a2y(x))2a2y(x)+y(4)(x)=0 Mathematica : cpu = 268.095 (sec), leaf count = 139

{{y(x)c3eax1x2ae2aK[1]eaK[1]Ai(a2+λK[1]abλ(aλ)2/3)dK[1]dK[1]+c4eax1x2ae2aK[2]eaK[2]Bi(a2+λK[2]abλ(aλ)2/3)dK[2]dK[2]+c1eax+c2eax}} Maple : cpu = 0.559 (sec), leaf count = 89

{y(x)=eax(e2ax(eax(_C4Bi(λ(axb)+a2aλaλ3)+_C3Ai(λ(axb)+a2aλaλ3))dx+_C2)dx+_C1)}