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Math Help - simple laplace transforms?

  1. #1
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    simple laplace transforms?

    Im just going over these again and was wondering if somebody could help to tell me if im doing them right please.

    Q. f(t) = 2sin 3t + 4sinh 3t

    A. 2 (a/s^2+a^2) + 4 (a/s^2-a^2)
    2 (3/s^2+3^2) + 4 (3/s^2-3^2)
    6/s^2+9 + 12/s^2-9


    Q. f(t) = e^3t/2 - 6sin(2t)

    A. Im not sure how to do transform the e^3t/2, im not sure which function this represents, is it e^at = 1/s-a, and where do this /2 come into it

    -6sin(2t) = 12/s^2+4
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  2. #2
    Super Member Random Variable's Avatar
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    The first one is correct.

     \mathcal{L} \{e^{\frac{3t}{2}} \} = \frac {1}{s- \frac{3}{2}}= \frac{2}{2s-3}
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