Me this Inverse Laplace Transformation question

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Discussion Overview

The discussion revolves around finding the Inverse Laplace Transform of the function 1/(((s+1)^2)(1+e^(-2s))). Participants are seeking assistance with the transformation process, particularly in separating the components of the function.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant requests help with the Inverse Laplace Transform of the given function.
  • Another suggests using partial fractions as a potential method to approach the problem.
  • A participant expresses frustration, noting that despite reading several books, they still do not understand how to apply the suggested method.
  • A different participant mentions that Maple 9 is unable to solve the function, questioning the correctness of the function's representation.
  • One participant confirms that the question is indeed correct.
  • Another proposes expanding the (1+e^(-2s)) factor into the numerator as a series, suggesting that the function may represent a series of square wave pulses modified by the (s+1)^2 factor.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the method to solve the problem, and multiple approaches are suggested without agreement on a definitive solution.

Contextual Notes

There are indications of uncertainty regarding the application of methods such as partial fractions and series expansion, as well as the limitations of the software tool Maple 9 in solving the problem.

mak_wilson
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please help me this Inverse Laplace Transformation question

Find the Inverse Laplace Transform of this function

1/(((s+1)^2)(1+e^(-2s)))

I just don't know how to separate it , please help me
 
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Yes, But I read a few books about it, still don't get how to do that...
 
Maple 9 doesn't want to solve it

Hi;
Is it really
[tex] \frac{1}{(s+1)^{2}(1+e^{-2s})}[/tex]
Maple 9 doesn't want to solve it.
Can you check it just in case.
Max.
 
Last edited:
yes... the question is right.
 
First put the (1+exp(-2s) factor into the numerator and expand as a series. the function appears to be a series of square wave pulses, which are probably modified by the (s+1)^2 factor.
 

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