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Re: Eliminating unknown functions from partial differential equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41069] Re: Eliminating unknown functions from partial differential equations
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Thu, 1 May 2003 04:57:48 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <b8o1b0$ov2$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

eqn = {x'[t] == y[t],
y'[t] == -x[t]}

Eliminate[Join [eqn, D[#, t] & /@ eqn], {y[t], y'[t]}]

Regards
  Jens

Stepan Yakovenko wrote:
> 
> Hello all !
> 
> Is it possible to eliminate some of unknown functions from a partial
> differential equation ?
> For instance :
> 
> x'[t]=y[t]
> y'[t]=-x[t]
> 
> ->
> 
> x''[t]=-x[t]
> 
> Thanx in advance.
> 
> 
> 
> --
> Best regards,
>  Stepan                          mailto:yakovenko at ngs.ru


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