Application of One-step Techniques to Systems of Equations:

All of the methods discussed earlier are directly applicable to systems of equations. Each member of the system is treated separately but simultaneously. Thus, the Euler method for

(4.3)

is

The classical Runge-Kutta method requires that a set of be calculated for each dependent variable. Thus, the four step Runge-Kutta process for (4.3), can be given by