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

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SUMMARY

The discussion focuses on solving the Laplace inverse of the function s²/((s²-1)(s-1)²). Participants recommend utilizing the partial fraction decomposition method as the primary approach, while also acknowledging the potential use of the shifting method. The consensus is that starting with partial fractions simplifies the problem, allowing for easier manipulation of the components involved in the Laplace transform.

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  • Understanding of Laplace transforms and their properties
  • Familiarity with partial fraction decomposition
  • Knowledge of the shifting theorem in Laplace transforms
  • Experience with Laplace tables for reference
NEXT STEPS
  • Study the method of partial fraction decomposition in detail
  • Learn how to apply the shifting theorem in Laplace transforms
  • Practice solving Laplace inverses using various functions
  • Explore Laplace transform tables for common functions and their inverses
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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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