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

Find the inverse laplace transform of this function

  • Thread starter mingming
  • Start date
  • #1
5
0

Homework Statement


F(s) = 3/(s(s^2 +2s + 5))


Homework Equations





The Attempt at a Solution


I have used partial fraction using coefficients.

F(s) = (3/5)s - (3/5) ((s+2)/(s^2 +2s + 5))
and reduce s^2 +2s +5 by completing the square
F(s) = (3/5)s - (3/5) ((s+2)/((s+1)^2 + 4))
I am having trouble finding the right inverse laplace for the second term since (s+2) must be equal to (s+1) to apply the inverse laplace formula in the table...what should i do ...
 

Answers and Replies

  • #2
vela
Staff Emeritus
Science Advisor
Homework Helper
Education Advisor
14,580
1,200
Use the fact that s+2 = (s+1)+1 and break that term into two terms.
 

Related Threads on Find the inverse laplace transform of this function

Replies
5
Views
958
Replies
2
Views
820
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
9
Views
4K
  • Last Post
Replies
9
Views
4K
  • Last Post
Replies
8
Views
2K
Replies
1
Views
18K
Top