Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By Ruun

Math Help - laplace

  1. #1
    Newbie
    Joined
    Nov 2012
    From
    New York
    Posts
    10

    laplace

    Hi guys, could you help me solve this simple problem, what happens is that I have a little doubt with the defining intervals of the function, thanks

    Find the
    Laplace transform of the given function

    g(t)
    = 0 t < 3
    = t t
    ≥ 3
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,619
    Thanks
    592

    Re: laplace

    Hey frankitm.

    Hint: Look at the Heaviside function:

    Heaviside step function - Wikipedia, the free encyclopedia
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member Ruun's Avatar
    Joined
    Mar 2009
    From
    North of Spain
    Posts
    129
    Thanks
    13

    Re: laplace

    Indeed, your fuction can be written as

    g(t)=t\theta(t-3)

    where \theta(x) is the Heaviside funcion. The Laplace transform of your function is

    \mathcal{L}[g](s)=\int_{0}^{\infty}g(t)e^{-st}dt=\int_{3}^{\infty}te^{-st}dt

    You can do that integral by parts.
    Thanks from frankitm
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. laplace sum
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 24th 2013, 09:28 AM
  2. laplace sum
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 24th 2013, 02:20 AM
  3. Laplace/Inverse Laplace Questions
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: August 14th 2010, 11:29 AM
  4. laplace help
    Posted in the Differential Equations Forum
    Replies: 7
    Last Post: August 13th 2010, 05:19 AM
  5. laplace
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 13th 2008, 05:13 PM

Search Tags


/mathhelpforum @mathhelpforum