Laplace transform of the sin function
Submitted by Structure on Sat, 12/08/2007 - 17:06.
Laplace transform of sinus function is defined by
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Integral is convergent for
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As we have
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we can use it to get the sinus function transform.
We have
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Taking real and imaginary parts we have
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Now we give another method to have the same result using properties of Laplace transform.
Function ,
verifies differential equation
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We have
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so
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Function ,
verifies differential equation
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We have
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so
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