Java Programming

1. The steady state solution of (4.29) can be found by setting dX/dt and dY/dt equal to zero. Show that the steady steady state values for (X,Y) are (A, B/A).
2. Write a program to solve numerically the rate equations given by (4.29). Your program should input the initial values of X and Y and the fixed concentrations A and B, and plot X versus Y as the reactions evolve.
3. Systematically vary the initial values of X and Y for given values of A and B. Are their steady state behaviors independent of the initial conditions?
4. Let the initial value of (X,Y) equal (A + 0.001, B/A) for several different values of A and B, that is, choose initial values close to the steady state values. Classify which initial values result in steady state behavior (stable) and which ones show periodic behavior (unstable). Find the relation between A and B that separates the two types of behavior.