HW #2

Due Thursday, January 21

1a) Use the two-sided Laplace Transform derived in class today to show thatassuming that x(t) is zero for all t < t0.

b) Show that if

c) Use the results of part a) and b) to find the response of the first order dynamical system which is modelled by the following differential equation:

(hint: assume x(t) = 0 for t < 3)

2.a) Find the inverse Laplace transforms of:

i) ii) iii)

b) Prove the Final Value theorem then find x(¥ ) if