1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Laplace Transform

  1. Mar 25, 2009 #1
    1. The problem statement, all variables and given/known data

    I'm a little a bit confused about the following exercise because of the two segments of the function. How can we find the Laplace transform of this function

    [itex]f(t) = \begin {cases} t , 0\le t < 4 \\
    5 , t\ge 4\end {cases}[/itex]

    2. Relevant equations

    3. The attempt at a solution

    Is this right??
    [itex]F(s) = \int_0^{\infty}e^{ - st}f(t)dt[/itex]
    [itex]= \int_0^{4}e^{ - st}\cdot{t}\,dt + \int_{4}^{\infty}e^{ - st}\cdot{5}\,dt[/itex]

    Thanks in advance!
  2. jcsd
  3. Mar 25, 2009 #2
    Yes, that is correct. As a first step ofcourse ;)
  4. Mar 25, 2009 #3
    What do you mean as a first step??
    Then I will calculate the two integrals. Is it Ok??

    Thanks xepma!!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Laplace Transform
  1. Laplace Transformation (Replies: 5)

  2. Laplace Transform (Replies: 1)

  3. Laplace Transforms (Replies: 4)

  4. Laplace transformation (Replies: 2)

  5. Laplace transform (Replies: 3)