Not sure what to do. At first I ignored what is said about using an integrator and drew the block diagram of the system, which looked a little complicated. So now, using just integrators I am stuck. If we try just taking the first system
x'1 = x1 + 4u
if we want to us an integrator, where y' = u, how can we ever draw this while satisfying the previous equation?
EDIT: Actually I think I got your hint. Is my system correct ?