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MathGroup Archive 1998

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Re: help

  • To: mathgroup at smc.vnet.net
  • Subject: [mg15096] Re: help
  • From: Lawrence Walker <lwalker701 at earthlink.net>
  • Date: Sat, 12 Dec 1998 03:59:00 -0500
  • Organization: Morgan State University: COMSARE
  • References: <74nvgc$3un@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Ron Gooch wrote:

>  Can any one solve this eq. with Mathematica?
>
>  solve the initial value problem
>
>   y'(t) + y(t)=1-(integral) e^(t-tau) y(tau)dtau, y(0).

Something seems to be missing.  Shouldn't there be limits of integration
where the limits depends on the variable 't' (Definite integral).

If you have limits then you can solve the equ in the following way:
<<Calculus`LaplaceTransform`;
eq[1] =  type in your equ;
Solve[LaplaceTransform[eq[1],t,s],Y[s]][[1]];

InverseLaplaceTransform[Y[s] /. %,s,t]


Lawrence
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