Solve Laplace Transform of t sinwt w/ Theorem 1.31

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 theorm 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...
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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