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

**Follow-Ups**:**Re: NDSolve with implicit function***From:*"Carl K. Woll" <carlw@wolfram.com>