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Math Help - Finding Laplace Transform using first shifting theorem

  1. #1
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    Finding Laplace Transform using first shifting theorem

    1. Find the Laplace transform of e^(-2t) sinηπt
    please help. thx
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  2. #2
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    Quote Originally Posted by ghazala View Post
    1. Find the Laplace transform of e^(-2t) sinηπt
    please help. thx
    Where are you stuck?

    Theorem: LT\left[ e^{at} f(t) \right] = F(s - a) where F(s) = LT[f(t)]

    In your case a = -2 and f(t) = \sin (nt). You should be able to look up a table of Laplace transforms to get F(s) .....
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  3. #3
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    yup thts wht i did..

    i got this answer:

    (ηπ + 2)/ (ηπ + 2)^2 + s^2

    i think i made a mistake smwhere :S
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  4. #4
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    Quote Originally Posted by ghazala View Post
    yup thts wht i did..

    i got this answer:

    (ηπ + 2)/ (ηπ + 2)^2 + s^2

    i think i made a mistake smwhere :S
    Laplace transform of f(t) = \sin (nt) is F(s) = \frac{n}{s^2 + n^2} \, ....
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  5. #5
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    thank you
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