Math Is Fun Forum

nidrogenz

Member

Registered: 2015-02-09

Posts: 2

Inverse Laplace Transform of 1/(s((s^(2))+2s+2) and 1/((s^(2))+w)

Hi all,
I don't understand it.
can't solve this problem.
I need help for solution of this problem.
Please.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,441

Website

Re: Inverse Laplace Transform of 1/(s((s^(2))+2s+2) and 1/((s^(2))+w)

It would be best to consult a table of Laplace Transforms.

Your first can be split using partial fractions, and then using the linearity of the Laplace transform.

For the second, what is w? If w is a constant, then you can read this result off directly from the link above.

If you're not permitted to use a table, then you can compute the inverses directly using the formula:

where gamma = Re(s), constructed so that gamma is always greater than every singularity of F(s) (this requires some knowledge of complex analysis). However, the nature of your problem seems to indicate that they want you to use a table of Laplace transforms.

Last edited by zetafunc (2015-02-14 23:08:41)

nidrogenz

Member

Registered: 2015-02-09

Posts: 2

Re: Inverse Laplace Transform of 1/(s((s^(2))+2s+2) and 1/((s^(2))+w)

thanks zetafunc.
Now, I complete to solve both problem.
P.S. For second w is constant.