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!

Diff Eq- Convolutions and state-free solution

  1. Jul 18, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the state-free solution

    yii+4yi+29y=0
    y2+4y+29=f(t)

    2. Relevant equations

    I know I have to find the impulse-response, e(t), which is 1/5e^-2t sin(5t).

    3. The attempt at a solution

    The state-free solutions is the convolution of e and f(t). This is the part I'm confused about, because there is only one example given in my book. Do I integrate the product of e(t-u) and f(u)?
    1/5e-2t sin(5t)*y2 +4y2 +29y
     
    Last edited: Jul 18, 2012
  2. jcsd
  3. Jul 18, 2012 #2

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    What's f(t)? It seems to appear out of nowhere.
     
  4. Jul 18, 2012 #3
    sorry, f(t) is y2+4y+29
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Diff Eq- Convolutions and state-free solution
Loading...