A certain network has an input admittance Y(s). The admittance has a pole at s = -3,

Question:

A certain network has an input admittance Y(s). The admittance has a pole at s = -3, a zero at s = -1, and Y(∞) = 0.25 S.
(a) Find Y(s).
(b) An 8-V battery is connected to the network via a switch. If the switch is closed at t =
0, find the current i(t) through Y(s) using the Laplace transform.