Question:-
A continuous time LTI system is described by
(d2y(t) dt2) + 4(dy(t) / dt) 3y(t) = 2(dx(t) / dt) + 4x(t)
Assuming zero initial conditions, the response y(t) of the above system for the input x(t)=e-2tu(t) is given by
Option (A)
(et-e3t)u(t)
Option (B)
(e-t-3-3t)u(t)
Option(C)
(e-t+e-3t)u(t)
Option(D)
(et+e3t)u(t)
Correct Option:
(B)
Question Solution:
Y(s) = {2(s+2) / (s+1)(s+3)} x (1/ (s+2)) = { 2 / (s+1)(s+3)} , y(t) = (e-t -e-3t) u(t)
question-answer-faq-2180