Results 1 to 4 of 4

Math Help - Inverse Laplace transform

  1. #1
    000
    000 is offline
    Newbie
    Joined
    Aug 2008
    Posts
    8

    Inverse Laplace transform

    can anyone tell me the inverse laplace transform of a constant???
    Asap... urgently required....
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by 000 View Post
    can anyone tell me the inverse laplace transform of a constant???
    Asap... urgently required....
    LT^{-1}[1] = \delta (t) where \delta (t) is the Dirac delta function.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    000
    000 is offline
    Newbie
    Joined
    Aug 2008
    Posts
    8
    can u tell me how that happened???
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by 000 View Post
    can u tell me how that happened???
    Because:

    (\mathcal{L}\ \delta)(s)=\int_0^{\infty} \delta(t)e^{-st}\ dt=\left. e^{-st}\right|_{t=0}=1

    (works better with the two-sided transform though)

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Inverse Laplace Transform
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 30th 2011, 11:52 PM
  2. inverse laplace transform
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: July 15th 2011, 11:11 AM
  3. inverse laplace transform help
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: May 16th 2010, 11:24 AM
  4. Inverse Laplace Transform
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: August 27th 2009, 10:42 AM
  5. Inverse Laplace transform
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 22nd 2008, 06:12 AM

Search Tags


/mathhelpforum @mathhelpforum