Question

(b) Let X(s) and Y(s) denote the Laplace transforms of x(t) and y(t), respectively. Find H(s) = Y(s)/X(s). Assume zero initial conditions. (H(s) is called the transfer function of the circuit) (5 points)

Answer 1

H(s)=(∫_(t=o)^∞▒〖x(t)e^(-st) dt〗)/(∫_(t=o)^∞▒〖y(t) e^(-st) dt〗)

Explanation:

L{f(t)}=F(s)=∫_(t=0)^∞▒〖f(t)e^(-st) dt〗