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Re: Can't solve Diff Equ

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42769] Re: Can't solve Diff Equ
  • From: "Bill Bertram" <wkb at ansto.gov.au>
  • Date: Fri, 25 Jul 2003 05:08:17 -0400 (EDT)
  • Organization: Australian Nuclear Science and Technology Organisation
  • References: <bfo4ca$cbk$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"Oliver Friedrich" <oliver.friedrich at tzm.de> wrote in message
news:bfo4ca$cbk$1 at smc.vnet.net...
> Hallo,
>
> I try to solve the following differential equation:
>
> equ=D[x[t], {t, 2}] == D[c[x], {x, 1}] D[x[t], {t, 1}]
>
> DSolve[equ,x[t],t]
>
> Mathematica 4.2 returns it unsolved.
>
> 1. Does DSolve need any more information ?
>

No, but you need to tell it that the "x" in your c[x] is really  x[t]. So if
you write instead,

equ=D[x[t], {t, 2}] == D[c[x[t]], {x[t], 1}] D[x[t], {t, 1}],

DSolve will return a result involving the unspecified function c plus two
arbitrary constants.

Cheers,
  Bill




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