Finding the Laplace Transform of a Piecewise Function

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Homework Help Overview

The discussion revolves around finding the Laplace Transform of a piecewise function defined for different intervals of time. The function is specified as zero for times less than 5 and as a quadratic expression for times greater than or equal to 5.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to compute the Laplace Transform and presents their result for verification. Other participants engage in confirming the correctness of the answer, with one expressing uncertainty about the clarity of the source material.

Discussion Status

Contextual Notes

Participants note that the original poster found the textbook explanation unclear, which may have influenced their request for validation of their solution.

njnear
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Homework Statement



Find the Laplace Transform of:

f(t) = {0, t < 5
t2 - 10t + 31, t[tex]\geq5[/tex]

Homework Equations


The Attempt at a Solution



The answer I got was:

F(s) = e-5s (2/s3 + 6/s)

Is this correct?
 
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Can anyone help?
 
Yes. It's right. You didn't really NEED help, did you?
 
I just wanted to make sure it was correct. My book wasn't very clear on how to do the problem, so I wasn't sure. Thanks for confirming my answer. I really appreciate it.
 

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