Solve Laplace Transform of t sinwt w/ Theorem 1.31

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Homework Help Overview

The discussion revolves around determining the Laplace Transform of the function t sin(wt) using Theorem 1.31, which pertains to the General Differentiation method. Participants are exploring the application of this theorem in the context of Laplace Transforms.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses confusion about starting the problem due to the multiplication of two functions rather than a function raised to a power. Some participants suggest transforming the sine function first and then applying the corresponding Laplace function, while others question whether this aligns with the requirements of the theorem.

Discussion Status

The discussion is ongoing, with participants sharing different interpretations of the theorem's application. There is a recognition of the original poster's constraints regarding the method specified for the problem, and some guidance has been offered, although no consensus has been reached on the approach.

Contextual Notes

JSBeckton
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Homework Statement



Determine L{t sinwt} with the aid of therom 1.31 (its the General Differentiation method on this page: "link"[/URL]



[h2]Homework Equations[/h2]

Shown on linked page



[h2]The Attempt at a Solution[/h2]

I do not understand how to start this becasue I do not have a function to a power, I have a multiplication of 2 functions. I know there are better theorms for this porblem but he specifically said we need to use this one, can anyone help me out?

Thanks in advance.
 
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That link is broken.
 
transform sin function then apply the corresponding laplace function of t to the transformed sin function.
 
euler_fan said:
transform sin function then apply the corresponding laplace function of t to the transformed sin function.


I don't think that is what this theorem calls for, can you verify from th link?

He said that he wants us to do it this way even though there are easier ways, go figure...
 

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