The Runge-Kutta method for a system of differential equations

5 The Runge-Kutta method for a system of differential equations 

The single-variable method can be extended to a system comprising any number of differential equations. The Runge-Kutta method is commonly found in software packages. For simplicity, it will be described for a system of only two equations 

Let us use a time step h of 0.1 and define x = C, y = C. Equation (3.2.31) becomes a system of first-order equations 

---