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NDSolve with delayed terms in equations

• To: mathgroup@smc.vnet.net
• Subject: [mg11829] NDSolve with delayed terms in equations
• From: Alban P Tsui <scmapt@cs.cf.ac.uk>
• Date: Wed, 1 Apr 1998 00:35:38 -0500
• Organization: Cardiff University of Wales

I have a set of differential equations. Usually I can solve it with
NDSolve with no problem. However, I do not know how to solve something
like this, say

x'[t]==y[t]^2+x[t-a]
y'[t]==y[t]x[t]

with the usuaual intial conditions and a is real and positive.

x[t-a] is a delayed term.

What is the best way to tackle this with NDSolve?

Alban
P.S. Appreciate if you can send solution to me directly as well.