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Question on Laplace Transform

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hitmen

Joined Sep 21, 2008
161
x(t) = sin(t/2)
H(ω) = ∏(ω-0.5)
Find theoutput signal y(t)

I am able to use euler formula to get x(t) =(ei(0.5)t - eit(-0.5)) /2
However, H(w) = ∏(ω-0.5) is not found in the laplace transform truth table.

Can you help?
 
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