Inverse Laplace transform Help

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Homework Help Overview

The discussion revolves around finding the Inverse Laplace transform of the function 1/(4s+1). Participants are exploring methods to approach this problem, which falls under the subject area of Laplace transforms in mathematics.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants express difficulty in finding the solution and inquire about methods for solving the problem by hand. There are suggestions regarding the use of tables for direct solutions and discussions about showing work clearly using LaTeX.

Discussion Status

The discussion is ongoing, with participants providing guidance on how to approach the problem and emphasizing the importance of showing work. Some participants suggest simplifying the expression to aid understanding, while others are still seeking clarity on the process.

Contextual Notes

There is a mention of using LaTeX for clarity in presenting mathematical work, indicating a focus on proper formatting in the discussion. Participants are also encouraged to show their work, suggesting a collaborative effort to understand the problem better.

Icy950
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I couldn't figure the sol'n for this problem
Could somebody help?
Thanks a lot

Find the following Inverse Laplace transform

(L^(-1))*[1/(4s+1)]:frown:
 
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Icy950 said:
I couldn't figure the sol'n for this problem
Could somebody help?
Thanks a lot

Find the following Inverse Laplace transform

(L^(-1))*[1/(4s+1)]:frown:

That's almost direct from a table...

or are you doing these by hand?
 
I'm trying to do this by hand
Hopefully I can get some help
Thanks a lot
 
Well you will definitely need to show some work.

Also, you should check out LaTeX in the tutorial section. Then you can show your work as:

[tex]\frac{1}{4s+1}[/tex]
 
It might be easier for you to see the solution if you first divide everything by 4:

[tex]\frac{1/4}{s+1/4}[/tex]

Now it should be clear that:

[tex]L^{-1}(\frac{1/4}{s+1/4}) = \frac{1}{4}e^{\frac{1}{4}t}[/tex]
 

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