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