Consider the system described by

x(t) 0 1 x(t), -2-3 where x(t) = (x(t) x2(t)). (a) Compute the state transition matrix (t, 0). (b) Using the state transition matrix from (a) and for the initial conditions x(0) = 1 and x2(0) -1, find the solution x(t) for t 0.