Solve Laplace Inverse for s2/((s2-1)(s-1)2)

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    Inverse Laplace
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Homework Help Overview

The problem involves finding the Laplace inverse of the expression s²/((s²-1)(s-1)²), which falls under the subject area of Laplace transforms in differential equations.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts the shifting method and partial fraction decomposition but finds these efforts unproductive. Participants discuss the potential effectiveness of these methods and suggest starting with partial fractions to simplify the expression.

Discussion Status

The discussion is ongoing, with participants providing guidance on the use of partial fractions and encouraging the original poster to share their work. There is an exploration of different approaches without a clear consensus on the best method yet.

Contextual Notes

No specific constraints or missing information have been noted, but the discussion implies a need for clarity on the application of the methods mentioned.

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Homework Statement


s2/((s2-1)(s-1)2)



Homework Equations


laplace tables


The Attempt at a Solution



I attempted the shifting method and also partial fraction method but efforts were fruitless
 
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Show us what you got from those efforts because that approach will work.
 
which one?
 
You can use both concepts in finding the solution, but you should start with partial fractions to separate it into simpler pieces.
 

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