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newbie question DSolve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52066] newbie question DSolve
  • From: "Pratik Desai" <pdesai1 at umbc.edu>
  • Date: Tue, 9 Nov 2004 01:37:09 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello all

I am trying to use DSolve to solve a ode with discontinuity in it (wave 
equation with a viscous damper injected at a location d)

This is what i am using

DSolve[{y''[x]-lamda^2*y[x]==DiracDelta[x-d]*y[x],y[0]==0,y[L]==
=0},y[x],x]

the problem I am facing is that

y[x] on the right hand side (next the delta function) varies w.r.t to 
the location

y[x]==y[x]&& 0<=x<=d
y[x]==y[L-x]&&d<=x<=L

I can solve the above equation without the y[x] coupled to the delta 
function

Please advise and thanks in advance,


Pratik Desai


ps: This is my third attempt at posting my query, I hope this time it 
makes it to the list :)




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