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 on specific interval

  1. Mar 20, 2010 #1
    1. The problem statement, all variables and given/known data
    I need to solve the following ODE using the laplace domain:
    y' + 4y + 20(integral from 0->t)y(t)dt = 34e^-t on the interval 0<t<4 (y(0) = 0)

    2. Relevant equations
    I can solve the ODE fine, no problems. But I'm a little confused on how to evaluate it strictly on this interval. Would I need to utilize the step function somehow?

    3. The attempt at a solution
    This is what I did so far:
    (sY(s) - 0) + 4Y(s) + 20Y(s) / s = 34 / (s + 1)
    but this is not taking into account the interval...
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?