Laplace transform please check my answer

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Homework Help Overview

The discussion revolves around finding the Laplace transform of the function (t+2)sinh(2t). Participants are evaluating the correctness and simplification of the original poster's answer.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster seeks verification of their Laplace transform result and questions if it is simplified. Some participants discuss the nature of simplification and suggest alternative methods for verification.

Discussion Status

Participants are actively engaging with the problem, with some offering alternative expressions derived from computational tools. There is a focus on checking the correctness of the original poster's answer without reaching a definitive consensus.

Contextual Notes

There is mention of potential simplification methods and the use of computational tools, indicating varying levels of comfort with manual calculations. The original poster expresses concern about double posting, suggesting a desire for clarity and assistance.

cabellos
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I have to find the laplace transform of (t+2)sinh2t

my answer is (4s/(s^2 + 4)^2 ) + (4/(s^2 - 4))

is this simplified as much as possible...?
 
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Depends on what you regard as "simplification".
You might throw everything ont a common denominator, but I'm not too sure that is a simplification.
 
first off sorry for double posting...

secondly, is my answer correct...Id really aprreciate it if someone could check.

Thanks
 
using maple:

laplace:
[tex](t+2)\sinh 2t[/tex]

equals:
[tex]\frac{4(s^2+s-4)}{(s+2)^2(s-2)^2}[/tex]

You can put that in the form you need to check. Or if really lazy (as I'm being) plug in s values to get an idea if you are correct, don't use this as proof that they are the same.

Also, why don't you just perform an inverse laplace on your expression to check?
 

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