A continuous-time linear system is described by the transfer function given below
H(s) = Y(s)/X(s) = (-5s^2 + 2)/(s^2 - s + 3)
where x(t) is the input and y(t) is the output of the system. Compute the response, y(t), for all t >= 0, when y(0^-) = -2, y'(0^-) = 1, and x(t) = r(t) = tu(t).