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inverse laplace (Help..!! thanks)

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Question:

radne

Sage

Karma Points: 5,119

Date Posted: 5/16/2008 11:03:28 AM Status: Live

Asker's Rating: Lifesaver

Response:

Factor out the s²

Using Partial fractions..

Matching coeffients on left and right give you 5 equations 5 unknowns
[1]

[2]

[3]

[4]

[5]

Using [5] in [4]

Simplifying [1],[2],[3] with [4] and [5]
[1]

[2]

[3]

Taking -1[1] + [2] + 2[3] eliminates c and d

Substitution yields

So the partial fraction decomposition is is

first term looks like a cosine term, so making it look the part

Taking the inverse laplace transform

Transforms used

FeFeAn's Comment:

Thanks

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