Solving time shifted differential equations

In my efforts to model traffic flow something that is interesting to consider is reaction time. I was looking at trying to model a differential equation of the form :

d^2 x1( t + T ) = (x2(t)-x1(t))

    dt^2

Where x1 is car 1, x2 is car 2, and T is the reaction time of car 1. I have not had any luck in solving this type of shifted time differential equation in Matlab.

Answer 1

[Grzegorz Knor]

Read in documentation:

http://www.mathworks.com/help/techdoc/ref/dde23.html

http://www.mathworks.com/help/techdoc/ref/ddesd.html