Help: Fourth Order Runge-Kutta

The Fourth Order Runge-Kutta algorithm for the differential equation Y' = f(X,Y) (where X is the independent variable) is

            k1 = f(X,     Y(X))
            k2 = f(X+h/2, Y(X) + h/2 k1)
            k3 = f(X+h/2, Y(X) + h/2 k2)
            k4 = f(X+h,   Y(X) + h k3)
  Y(X+h) = Y(X) + h/6 (k1 + 2 k2 + 2 k3 + k4)

The step size is

            
             h = (X_F - X_I)/N

where X_I is the initial value of X, X_F the final value and N the number of steps, as set in the Main Window.

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