Unless otherwise indicated, all problems are from the course text.

1. 2.25
2. 3.18 (unless you submitted this with homework 3). Compute the transfer function from the pump to h₂.
3. For the block diagrams illustrated in Figures 3.39 (a) and (b),
   1. compute the transfer function Y(s)/R(s); and
   2. from the transfer function, determine the differential equation that relates y(t) and r(t).
4. 3.27
5. 3.28
6. 3.41
7. Final Value Theorem Problems:
   1. Use the final value theorem to find the steady state value of the response of the transfer function Y₁(s) = 1/(s+2) to a unit step input.
   2. Try to apply the final value theorem to find the steady state value of the response of the transfer function Y₂(s)= 1/(s-2) to a unit step input.
   3. Use the matlab

      step()

      command to plot the response of Y₂(s) to a step input. If the steady state values are different, explain why.