4.441   ODE No. 1441

d2dx2y(x)=2JacobiSN(x,k)JacobiCN(x,k)JacobiDN(x,k)ddxy(x)2(12(k2+1)(JacobiSN(a,k))2+3k2(JacobiSN(a,k))4)y(x)(JacobiSN(x,k))2JacobiSN(a,k)=0

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

Mathematica: cpu = 1.467186 (sec), leaf count = 105 DSolve[y(x)=y(x)(cn(x|k)dn(x|k)2sn(x|k))sn(x|k)2sn(a|k)2y(x)(6k2sn(a|k)44(k2+1)sn(a|k)2+2)sn(x|k)2sn(a|k)21sn(x|k)2sn(a|k)2,y(x),x]

Maple: cpu = 340.784 (sec), leaf count = 85 {y(x)=DESol({d2dx2_Y(x)2JacobiSN(x,k)JacobiCN(x,k)JacobiDN(x,k)ddx_Y(x)(JacobiSN(x,k))2JacobiSN(a,k)(2+4(k2+1)(JacobiSN(a,k))26k2(JacobiSN(a,k))4)_Y(x)(JacobiSN(x,k))2JacobiSN(a,k)},{_Y(x)})}