anonymous
  • anonymous
Express the following in terms of Heavyside Function=> H(t-a) and find its laplace transform Where F(t) = t 02
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Hi guys, im new to this topic i would appreciate it if someone can show me in how to proceed forward with this problem.
TuringTest
  • TuringTest
It's been a while since I've done this, but here's what I'd work from: http://tutorial.math.lamar.edu/Classes/DE/StepFunctions.aspx
anonymous
  • anonymous
Thanks that site looks useful

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anonymous
  • anonymous
The examples on the website are kinda difficult to understand, im still kinda confused....?
TuringTest
  • TuringTest
do you know the \[\mathcal L\{u_c(t)f(t-c)\}=e^{-cs}F(s)\]transform?
anonymous
  • anonymous
Yes i know the forumla but dont know how to apply it yet... Im i suppose to sub in the interval values in first.
TuringTest
  • TuringTest
For 0
anonymous
  • anonymous
why is f(t)= 0 ? is that from the limits 0
TuringTest
  • TuringTest
your step function is\[f(t)=\left\{\begin{matrix}t&&02\end{matrix}\right.\]correct? if so, then for t between 1 and 2 your function should equal zero
anonymous
  • anonymous
yes thats correct, But why?
TuringTest
  • TuringTest
you asked why f(t)=0 for 1
anonymous
  • anonymous
Oh right i see, so do i integrate now?
TuringTest
  • TuringTest
Well first off, I am thinking you want the laplace transforms, not regular integration. We need to do some more manipulation before we can do that. Secondly, we have not yet added the part that will make it such that f(t)=1 for t>2 any ideas how you might do that? (hint: it requires adding a single term, which is another step function)
anonymous
  • anonymous
H(t-a) ?
TuringTest
  • TuringTest
but the all-important question is"what is a ?".
anonymous
  • anonymous
1 i guess?
anonymous
  • anonymous
well is it?
anonymous
  • anonymous
lol im so confused at the moment, im totally new to this!
TuringTest
  • TuringTest
no, you need to understand the heavyside function for H(t-1) what is the value when t=2 ?
anonymous
  • anonymous
0
anonymous
  • anonymous
i mean 1 ?

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