(a) Solve the following by:
(i) First reducing the system of first order differentiat equations to a second order differential equation.
(ii) Decoupling the following linear system of equations
(b) Using the eigenvalue approach, determine the asymptotic behaviour of solution for t.
(c) Using Maple:
(i) Check your solution that you have found in (above) and graph your solution with respect to time.
(ii) Graph the components of X(t) against each other and identify the direction of solution as t → infinity