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Re: DSolve y'[t]==y[t-a]

• To: mathgroup at smc.vnet.net
• Subject: [mg73272] Re: DSolve y'[t]==y[t-a]
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Fri, 9 Feb 2007 02:23:38 -0500 (EST)
• Organization: Uni Leipzig
• References: <eqend4$4e6$1@smc.vnet.net>
• Reply-to: kuska at informatik.uni-leipzig.de

Hi,

that's a delay differential equation and fortunatly for you
it is a linear one so you can use LaplaceTransform[] to
transform it to an algebraic problem.

Regards
   Jens

Peter Breitfeld wrote:
> I want to solve the equation in the subject. If I enter
>   DSolve[y'[t] == y[t - a], y[t], t]
> I get the error DSolve::ambiguity.
> 
> I triede to define
> k[t]=y[t-a]
> and to solve the resulting system, but this doesn't work either
> because the ambiguity of the independent variable remains.
> 
> Any ideas?
> 
> 
> Gruss Peter