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Can someone please help me!!! Use the definition of the Laplace Transform to find the transform of the function shown in the link https://instruct.math.lsa.umich.edu/webwork2_course_files/ma216-u12/tmp/gif/rilayian-103-sethomework6prob13image1.png

Mathematics
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@ranyai12 you there ?

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Other answers:

yes i am
ok
you have given piecewise function .first the definition of Laplace is \[[\Large F(s)=\int\limits\limits_{0}^{\infty}e^{-st}f(t)dt\]\]
sorry openstudy logged me out!
what values from the graph would we incorporate?
@sami-21 are you still there?
yes i am here . openstudy crashed me :( i was typing everything went off :( let me try again.
OpenStudy is a bit of a pain today, I was opening this question about 20 minutes ago, and by now I am here hehe.
lol yea i understand it kept on logging me out!
it is piece wise function can be written as
1 Attachment
do you get the integration to be (-3e^(-st))/s
yes apply the limits
and the limits are the s right
nopes!! they are for t :P
oh lol
ok so the answer would be (3e^(-5s)(3e^s-1))/s
you did a mistake . first take 3 common also the second one should be e^(-2s)
what do you mean first take 3 common
so the answer is 3(e^5s/s-e^2s/s)
\[\Large \frac{-3}{s}|e^{-st}|_{2}^{5}=\frac{-3}{s}[e^{-5s}-e^{-2s}]\]
@ranyai12 yes it is just you missed minus sign with the s in the exponent.
oh ok thank you
you 're welcome :)
it ended up being wrong
wait nevermind i got it!
it was right! i plugged it in wrong
(-: !
you must have missed minus sign with 3 :P
I did! lol

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