Example: Runge-Kutta-Verner ordinary differential equation solver

An ordinary differential equation problem is solved using a solver which implements the Runge-Kutta-Verner method. The solution at time t=10 is printed. 
using System;
using Imsl.Math;

public class OdeRungeKuttaEx1 : OdeRungeKutta.IFunction
{
	public void F(double t, double[] y, double[] yprime)
	{
		yprime[0] = 2.0 * y[0] * (1 - y[1]);
		yprime[1] = - y[1] * (1 - y[0]);
	}


	public static void  Main(String[] args)
	{		
		double[] y = new double[]{1, 3};
		OdeRungeKutta q = new OdeRungeKutta(new OdeRungeKuttaEx1());
		int nsteps = 10;
		for (int k = 0; k < nsteps; k++)
		{
			q.Solve(k, k + 1, y);
		}
		Console.Out.WriteLine("Result = {" + y[0] + "," + y[1] + "}");
	}
}

Output

Result = {3.14434167651608,0.348826598519701}
Link to C# source.