Results 1 to 2 of 2

Math Help - Laplace of Heaviside function

  1. #1
    Junior Member
    Joined
    May 2011
    Posts
    26

    (SOLVED) Laplace of Heaviside function

    I need to find the laplace transform of
    (1-\pi)u_\pi-(t-\pi)u_{2\pi}

    I can see how to find the first part of it with the formula

    L[u_c(t)f(t-c)]=e^{-cs}F(s)

    But the second part (t-\pi)u_{2\pi} doesn't seem to work with that. How do I start to solve the second part?
    Last edited by Carbon; May 24th 2011 at 03:56 PM. Reason: Solved.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by Carbon View Post
    I need to find the laplace transform of
    (1-\pi)u_\pi-(t-\pi)u_{2\pi}

    I can see how to find the first part of it with the formula

    L[u_c(t)f(t-c)]=e^{-cs}F(s)

    But the second part (t-\pi)u_{2\pi} doesn't seem to work with that. How do I start to solve the second part?
    This is really common with Laplace transform's. You need to use some algebra to fix the problem.

    (t-\pi)u_{2\pi}=(t-\pi-\pi +\pi)u_{2\pi}=(t-2\pi)u_{2\pi}+(\pi)u_{2\pi}

    Now you can apply the theorem to both terms.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Laplace transform with heaviside step function
    Posted in the Differential Equations Forum
    Replies: 27
    Last Post: July 14th 2012, 12:46 AM
  2. Laplace transformation and heaviside function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 3rd 2010, 10:19 PM
  3. Heaviside Function and Laplace Transformation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 26th 2010, 09:55 PM
  4. Laplace Transform and Heaviside Function
    Posted in the Calculus Forum
    Replies: 6
    Last Post: October 19th 2009, 03:22 AM
  5. Laplace Transformation and Heaviside function
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 23rd 2008, 05:02 PM

Search Tags


/mathhelpforum @mathhelpforum