10 Questions
What is the Laplace transform of the function f(t) = e^(-3t)cos(5t)?
(s + 3)/((s + 3)^2 + 25)
What is the Laplace transform of the Heaviside's function u(t-a)?
e^(-as)/s
What is the Laplace transform of the Dirac delta function δ(t-a)?
e^(-as)
What is the Laplace transform of the piecewise function f(t) = t, 0 < t < 1, and f(t) = 0, t ≥ 1?
e^(-s)/s
What is the Laplace transform of the function f(t) = e^(-2t)sin(3t)?
3/(s^2 + 9)
What is the Laplace transform of the Heaviside's function u(t-2)?
e^(-2s)/s
What is the Laplace transform of the Dirac delta function δ(t-π/4)?
e^(-πs/4)
What is the Laplace transform of the piecewise function f(t) = t, 0 < t < 2, and f(t) = 2, t ≥ 2?
2e^(-2s)/s
What is the Laplace transform of the function f(t) = e^(2t)cos(4t)?
2/(s^2 + 16)
What is the Laplace transform of the Heaviside's function u(t-3)?
e^(-3s)/s
Solve ordinary differential equations using Laplace transform. Learn how to apply Laplace transform to solve initial value problems with piecewise defined functions, including Dirac impulse functions. Practice with examples and exercises.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
