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Math Help - Differential equation-Laplace Transform

  1. #1
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    Differential equation-Laplace Transform

    we started the section on Laplace Transform this past Friday but after looking over my notes and the text I still do not have a clue.
    here is an example from the book:
    Find L^-1{3/S^4} = L^-1{(1/2)*(6/s^4) = (1/2)t^3
    I don't understand where the 1/2 came from or where the 6 came from.
    Please help!!
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  2. #2
    Eater of Worlds
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    That is just basic algebra. Isn't \frac{3}{s^{4}} the same as

    \frac{6}{2s^{4}}?.

    \frac{\not{6}^{3}}{\not{2}^{1}s^{4}}=\frac{3}{s^{4  }}

    Then look up the inverse laplace in the table.
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