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