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Math Help - Silly question about Laplace Transformations.

  1. #1
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    Silly question about Laplace Transformations.

    Say I have this term

    \frac{0.5}{s+2} ,

    could I just say that 0.5 is a constant so it can be written as

    0.5\cdot\frac{1}{s+2}

    and transform it normally, which would then be

    0.5\cdot\exp^{-2t}

    or am I just being plain stupid and should know that things like this arent allowed with laplace terms?

    I have been looking at examples, just cant seem to find any that would answer me
    Last edited by Silver; December 3rd 2010 at 09:25 AM. Reason: typo
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  2. #2
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    feeling pretty embarrased asking this question...
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  3. #3
    A Plied Mathematician
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    You can definitely do that.
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  4. #4
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    L(f)= \int_0^\infty e^{-st}f(t)dt

    So if f(t)= c u(t) where c is a constant,
    L(cu)= \int_0^\infty e^{-st}cu(t)dt= c\int_0^\infty e^{-st}u(t)dt= cL(u).
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  5. #5
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    Yeah, I actually figured when I was transforming my terms back, that by linearity I could take the constant out..
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