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MathGroup Archive 2006

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symbolic solution of ODE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71544] symbolic solution of ODE
  • From: visbuga at purdue.edu
  • Date: Wed, 22 Nov 2006 05:22:25 -0500 (EST)


Hello , it is my problem. I will appreciate if someone can help it.


let wh[z] is the homogenous solution corresponding to t^2<k (not t^2>k)
of following ODE;

w''''[z] - 2*t*w''[z] + k*w[z] ==0

for t^<k wh[z] is:

wh[z]=c1*sinh(az)cos(bz)+c2*cosh(az)cos(bz)+c3*sinh(az)sin(bz)+c4*cosh(az)sin
(bz)

let w1[z]=A1*sinh(az)cos(bz)+A2*cosh(az)cos(bz)+A3*sinh(az)sin(bz)+A4*cosh(az)
sin(bz)

*****************************************************************************
Then, I need to solve:

w''''[z] - 2*t*w''[z] + k*w[z] == w1[z] where (t^2-k<0) again

*****************************************************************************

Thanks a lot

VV


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