Trouble Finding an Inverse LaPlace Transform

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SUMMARY

The discussion focuses on finding the inverse LaPlace transform of the function F(s)=\frac{2s+12}{s^2+6s+2\sqrt{2}}. The user expresses frustration with the tedious nature of partial fraction decomposition for this rational expression. A suggestion is made to utilize a reference table for inverse transforms, specifically pointing to the Vibration Data website, which provides relevant entries for quick lookup.

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  • Understanding of LaPlace transforms
  • Familiarity with partial fraction decomposition
  • Basic knowledge of rational expressions
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  • Explore advanced techniques for LaPlace transforms
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  • Review the content on the Vibration Data website for practical examples
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Students and professionals in engineering, mathematics, and physics who are working with LaPlace transforms and seeking efficient methods for solving inverse transforms.

opticaltempest
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I am trying to find the inverse LaPlace transform of

[tex]F(s)=\frac{2s+12}{s^2+6s+2\sqrt{2}}[/tex]

Using partial fraction decomposition on the above rational expression seems tedious. Is there any other method?

Thanks
 
Last edited:
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You can look up the inverse transform in a table like
http://www.vibrationdata.com/Laplace.htm"
See lines 2.25-2.27
 
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