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Re: Q

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41437] Re: Q
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Mon, 19 May 2003 05:15:13 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <ba5176$sfi$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

With[{n=4},
Solve[
  NestList[D[#, t] &, f'[t] == F[f[t]], n], 
  NestList[D[#, t] &, f'[t], n]
 ]
]

Regards
  Jens

Stepan Yakovenko wrote:
> 
> HI!
> 
>   I've got an equation f'[t]=F[f[t]].
>   F[] is known and analytic, (say
>   F[x]=x*x). I know f[0]=f0. f0 is
>   a number. I want to get all f'[0],
>   f''[0], f'''[0], ...  assigned
>   to their numberical values that can be
>   unambiguously found after differentiating
>   the source equation as many times as
>   needed.
> 
> --
> Try "win /t" to run Windows in text mode


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