1) (20pts) a) Find Laplace transform of the signals x(t) = 0.5t^2u(t) - tu(t - 2) b) Find the inverse Laplace transform of X(s) = (S + 1) / (S^2 + 4S + 8)
Added by Troy S.
Close
Step 1
5tut-tut-2 Show more…
Show all steps
Your feedback will help us improve your experience
Supreeta N and 93 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
(a) (5%) Find the Laplace transform R(s) of the signal r(t), if r(t) = 0, t < 0 and r(t) = cos(t - 120). (b) (5%) Find the inverse Laplace transform of F(s), where F(s) = (s + 45) / (s^2 + 45s + 8). (c) (5%) By applying the final value theorem, find the final value of f(t). The Laplace transform of f(t) is F(s). Verify this result by taking the inverse Laplace transform of F(s) and letting s approach infinity.
Adi S.
1. Find the inverse Laplace transform of the following functions: a. F(s) = (s - 2)(s - 4) / ((s - 1)(s - 3)(s - 5)) b. F(s) = s^2 / (s^4 - 16) 2. Use the Laplace Transform to solve the IVP: y'' + 4y' - 5y = e^2t, y(0) = y'(0) = 0
Madhur L.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD