5. Consider the initial value problem dy dt 6y=-9e2t with y(0) = A. (a) Find the analytic solution. (b) For what values of A does the above solution tend to 0, 0, or - as t ? (c) Use Matlab to produce a single plot showing three example solutions exhibiting each possible behaviour of the equation as t. Label the plot to indicate the value of A used for each solution.