Inverse Laplace for (e)^-5t*(t)^4

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SUMMARY

The discussion focuses on finding the Inverse Laplace Transform of the function x(t) = e^(-5t) * t^4. The user initially attempted to separate the terms using the linearity property of the Laplace Transform but realized that the multiplication of the two functions complicates the process. The user ultimately discovered a more effective Laplace table that aids in solving the problem, indicating the importance of selecting the right resources for complex transforms.

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Homework Statement



Find:

Inverse Laplace for x(t)= (e)^-5t*(t)^4 using laplace table and laplace properties.

Homework Equations





The Attempt at a Solution



Well, I have been working on this problem for a few days now and cannot seem to figure it out. The two functions are not separate terms being added together so I cannot simply say

L^-1{(e)^-5t} + L^-1{(t)^4} which I originally tried. This would result in

1/s+5 + 24/s^5 which would be easy but since the two functions are being multiplied it is throwing me off and I cannot find an answer through the tables.
 
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I found a better table, this post can be deleted
 

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