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MathGroup Archive 2006

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NDSolve with implicit function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65876] NDSolve with implicit function
  • From: rondeau at uvic.ca
  • Date: Thu, 20 Apr 2006 05:15:03 -0400 (EDT)
  • Organization: University of Victoria
  • Sender: owner-wri-mathgroup at wolfram.com

I am trying to numerically solve a differential equation
{x'[t]==f[x[t],y[t]], x[0]=a} , where y[t] is the numerical solution to an
implicit function g[x[t],y[t]]==0 (not a polynomial).

In other words, given x[t], we should be able to numerically compute y[t]
from the implicit function and it would enter numerically into the function
f of NDSolve.

Anyone with an idea on how to do this?

Thanks.
Daniel  


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