Scripted HTML version of Foils prepared 28 December 1996
Foil 8 Second and Higher Order Equations
From CPS615-Discussion of Ordinary Differential Equations and Start of Parallel N-Body Algorithm Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 10 October 96. byGeoffrey C. Fox * Secs 92.1
Second order equations such as
can always be rewritten as a system of 2 first-order equations involving X and a new variable Y representing the first order derivative: