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!

Homework Help: Laplace transform with f(t)=t

  1. Nov 3, 2009 #1
    1. The problem statement, all variables and given/known data
    This is my first post, so bear with me. I have seen others who have posted their questions and the problem looked like it was typed in mathcad or something. How do I do that?

    Ok so I'm trying to figure out how to solve a piecewise Laplace transform when f(t)=t

    the actual problem is

    f(t)={t, 0<t<1 (should be read as 0 less than or equal to t...)
    {1, t>1 (should be read as t greater than or equal to 1)

    2. Relevant equations

    L{f(t)}= integral of e-stf(t)dt

    3. The attempt at a solution

    My attempt. Please help me figure out how I can make this show up as it would in person. (with the integral sign, exponents, etc.)

    =integral from 0 to 1 of e-sttdt + integral from 1 to infinity of e-stdt

    =-1/s(e-s)(1/2) + 1/s(e-s)

    =(-e-s/2) + ((1/s)e-s)

    the correct answer should be =(1/s2) - (e-s/s2)

    I appreciate the patience everyone.
  2. jcsd
  3. Nov 3, 2009 #2
    wait wait don't tell me. I've almost got it.
  4. Nov 3, 2009 #3
    I'm an idiot and forgot basic calculus rules.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook