Laplace Transform Question

  • Thread starter starzero
  • Start date
  • #1
starzero
20
0
In my differential equations book (Edward and Penny) there are many examples of Laplace transforms being applied to linear differential equations with constant coefficients and no examples of them being applied to linear differential equations with variable coefficients. My question is, can this be done?

In particular, can someone take the Laplace Transform of something like

x^2 (d^2/dx^2)


If the answer is yes, can you provide me with a reference?

For the most part when the equations have variable coefficients the only methods that I have seen are series methods and substitution methods.

Thanks in advance for reading and any response.
 

Answers and Replies

  • #2
JJacquelin
801
34
In my differential equations book (Edward and Penny) there are many examples of Laplace transforms being applied to linear differential equations with constant coefficients and no examples of them being applied to linear differential equations with variable coefficients. My question is, can this be done?
Hi !
This can be done for many variable coefficients, but not for all kinds of coefficient.
 

Attachments

  • Laplace.JPG
    Laplace.JPG
    16.5 KB · Views: 412
  • Like
Likes 1 person

Suggested for: Laplace Transform Question

Replies
4
Views
426
  • Last Post
Replies
6
Views
691
  • Last Post
Replies
7
Views
918
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
2K
Replies
5
Views
2K
Replies
2
Views
559
  • Last Post
Replies
5
Views
2K
Replies
5
Views
3K
Top