Another derive

  • #1
gtfitzpatrick
380
0
(5s[tex]^{2}[/tex]-20s+36)/((s-2)(s[tex]^{2}[/tex]-4s+20)

expanding out i just inputed

EXPAND((5·s^2 - 20·s + 36)/((s - 2)·(s^2 - 4·s + 20)), Rational, s)

but trying to L[tex]^{-1}[/tex] does anyone have any ideas?

i tried

LAPLACE((5·s^2 - 20·s + 36)/((s - 2)·(s^2 - 4·s + 20), t, S)·s  Real (0, ∞)

should i just do it by its parts or can i do it whole?
 

Answers and Replies

  • #2
Defennder
Homework Helper
2,592
5
First decompose that expression into partial fractions. Then apply the inverse Laplace transform to the individual fraction expressions. In general that's how you find the inverse Laplace transform for complicated expressions.
 

Suggested for: Another derive

Replies
8
Views
636
  • Last Post
Replies
16
Views
453
Replies
4
Views
345
  • Last Post
Replies
30
Views
2K
  • Last Post
Replies
11
Views
127
Replies
3
Views
476
Replies
2
Views
94
  • Last Post
Replies
3
Views
711
Replies
5
Views
638
Replies
0
Views
112
Top