• Support PF! Buy your school textbooks, materials and every day products Here!

Inverse Laplace- Partial Fractions with exponential

  • Thread starter ns5032
  • Start date
  • #1
28
0

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
208
0
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
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
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 doesnt work out.
 

Related Threads for: Inverse Laplace- Partial Fractions with exponential

Replies
2
Views
1K
Replies
5
Views
1K
Replies
3
Views
542
Replies
1
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
863
  • Last Post
Replies
2
Views
2K
Replies
8
Views
2K
Top