Home » Signals and Systems » Signals and systems electrical engineering miscellaneous » Question

Signals and systems electrical engineering miscellaneous

Easy Questions
Moderate Questions
Difficult Questions

Signals and Systems

Signals and systems electrical engineering miscellaneous
  1. the response of LTI system for
    dy(t)/dt = 10x(t), y(0 –) = 1, x(t) = u(t) will be
    1. [1 – e– 10t]u(t)
    2. e– 10t u(t)
    3. u(t)
    4. [1 – 2e– 10t]u(t)
Correct Option: C

Taking Laplace transform, we have sY(s) – y(0–) + 10Y(s) = 10 × (s)
y(0–) = 1, X(s) = 1/s

Y(s) =
10
 +
1
 =
1
s(s + 1)(s + 1)s

⇒ y(t) = u(t)


Your comments will be displayed only after manual approval.