Inverse laplace transform without partial fractions

  • #1

Homework Statement


take inverse laplace of:

6/[s^4(s-2)^2]

Homework Equations


6/[s^4(s-2)^2]

The Attempt at a Solution


I used partial fractions. I was wondering if It could be manipulated to where I could use the laplace table?
 

Answers and Replies

  • #2
vela
Staff Emeritus
Science Advisor
Homework Helper
Education Advisor
14,883
1,461
If you don't want to use partial fractions, you could evaluate the Bromwich integral:
$$\frac{1}{2\pi i}\int_{\sigma-i\infty}^{\sigma+i\infty} \frac {6 e^{st}}{s^4(s-2)^2}\,ds$$
 
  • #3
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,557
767

Homework Statement


take inverse laplace of:

6/[s^4(s-2)^2]

Homework Equations


6/[s^4(s-2)^2]

The Attempt at a Solution


I used partial fractions. I was wondering if It could be manipulated to where I could use the laplace table?
You could write it as$$
\frac 6 {s^4}\cdot \frac 1 {(s-2)^2}$$inverse both factors using table methods, and take the convolution for your answer. Not sure it would be any easier though.
 

Related Threads on Inverse laplace transform without partial fractions

  • Last Post
Replies
2
Views
2K
Replies
5
Views
1K
Replies
3
Views
637
Replies
3
Views
15K
Replies
8
Views
2K
Replies
7
Views
2K
Replies
4
Views
2K
Replies
1
Views
1K
  • Last Post
Replies
2
Views
5K
Replies
4
Views
4K
Top