Inverse Laplace- Partial Fractions with exponential

  • Thread starter ns5032
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  • #1
ns5032
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Homework Statement


[e^(-2s)] / (s^2+s-2)
Find the inverse Laplace transform.


Homework Equations





The Attempt at a Solution


I know that I can factor the denominator into (s+2)(s-1). Then I tried to use partial fractions to split up the denominator, but I don't know how to do that with an exponential on the top. Thanks for any help!
 

Answers and Replies

  • #2
EngageEngage
208
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just write it as exp(whatever)*(1/whatever). Then do partial fractions to get exp(whatever)*(?/a + ?/b). You will see that the exponential will be easy to 'invert' back into the time domain as it corresponds to unit step functions (i believe).
 
  • #3
Shawj02
20
0
Im stuck in the same boat, but trying to get the partial fraction for "(e^[-s] -e^[-2s])/[(s^2)(s+1)]"

I wasn't too sure what EngageEngage meant.
 
  • #4
alchemist
50
0
i am having the same problems! never knew there was any issue with partial fractions involving exponential components.

my question was to get partial fraction from 3e^-2s/(s(s+5)), so i brought down the exponential function to get 3 different fractions with 1/e^2s, 1/s and 1/(s+5).

But it still doesn't work out.
 

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