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Math Help - Laplace Transform Help

  1. #1
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    Laplace Transform Help

    I'll use "L" to denote the Laplace Transform..I'm having trouble with acouple homework problems..any input would help

    L{sin(2t)} and L{e^3tsin(2t)}


    Can you check and see if my answers are correct

    L{sin(2t)} = 2/(s^2+4)

    L{e^3tsin(2t)} = 2/(s-3)^2 +4
    Last edited by chief27; April 9th 2009 at 08:05 PM.
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  2. #2
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    Quote Originally Posted by chief27 View Post
    I'll use "L" to denote the Laplace Transform..I'm having trouble with acouple homework problems..any input would help

    L{sin(2t)} and L{e^3tsin(2t)}


    Can you check and see if my answers are correct

    L{sin(2t)} = 2/(s^2+4)

    L{e^3tsin(2t)} = 2/(s-3)^2 +4
    the easiest way to check is by using an inverse-Laplace transform table. So i can tell you yes they are both right. the inverse laplace of
    sin(At) = A/(s^2 + A^2) and your second question is the same thing with a time shift applied.

    cheers
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