Finding the Inverse Laplace Transform for Solving Fractional Equations

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Homework Help Overview

The discussion revolves around computing the inverse Laplace transform related to fractional equations. Participants are exploring the challenges associated with using partial fraction decomposition in this context.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of partial fraction decomposition and its effectiveness, with some questioning the original poster's attempts and reasoning. There is an exploration of the forms of the transforms and how they relate to the inverse process.

Discussion Status

The discussion is ongoing, with participants providing insights into the limitations of partial fraction decomposition for this problem. Some guidance has been offered regarding the use of a Laplace transform table, but there is no explicit consensus on the best approach yet.

Contextual Notes

There are indications that the original poster may have misunderstood the results of their attempts with partial fractions, as they noted that all fractions become zero, which other participants challenge.

heahmad
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Homework Statement



Compute the inverse Laplace transform of

Homework Equations



http://img267.imageshack.us/img267/696/66451772.png

The Attempt at a Solution


I tried using partial fraction but no luck.
 
Last edited by a moderator:
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Welcome to PF, heahmad! :smile:

Partial fraction decomposition should work.
How did you try it?
 
Those transforms are already in the form you'd get from a partial fraction expansion so trying to expand them again should simply result in what you started with. Now it's just a matter of inverting each term using the table. Where are you getting stuck?
 
if i use Partial fraction decomposition, all fraction become zero!
 
vela is right.
Partial fraction decomposition does not work here.
You need a Laplace transform table.

But the fractions do not become zero.
How did you find zero?
 

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