Laplace Transform of a Function over a specified interval.

3 views (last 30 days)
I want to find the laplace transform of a function. for example cos(t) but with a condition such that 0<t<4.
  1 Comment
Vladimir Sovkov
Vladimir Sovkov on 7 Feb 2020
You mean, you want something like ? Then, just estimate it as the integral, either numerically (function "integral") or symbolically (function "int"). The other way is to define your function as the symbolic piece-wise one (equal to what you want within [0,4] and zero outside) and use the function "laplace".

Sign in to comment.

Accepted Answer

Walter Roberson
Walter Roberson on 7 Feb 2020
Edited: Walter Roberson on 7 Feb 2020
syms t
lowerbound = 0; upperbound = 4;
F = heaviside(t-lowerbound) * heaviside(upperbound-t) * cos(t)
The boundary conditions might not be exactly what you want so you might need to toss in some dirac()

More Answers (0)


Find more on Symbolic Math Toolbox in Help Center and File Exchange




Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!