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Math Help - Couple of Laplace Questions

  1. #1
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    Couple of Laplace Questions

    Hey everyone. Having some troubles with a couple of laplace questions (as the title suggests). I'm hoping the latex makes it readable, but I'm pretty new at the stuff.

    Find the laplace of:-
    1. sinh(3t-4)
    2. \int{e^u}cos(t-u){u^2}du <- Int from 0 to t
    3. \int{f(u)du} in terms of F(p) = L{f(t)} <- Int from 0 to (t-a)

    For (2) I'm thinking convolution theorem, but struggling with {u^2}{e^u}. And for one, well, the main struggle is the 3t

    Can anyone please throw some assistance my way?

    Cheers in advanced

    e
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by exphate View Post
    Hey everyone. Having some troubles with a couple of laplace questions (as the title suggests). I'm hoping the latex makes it readable, but I'm pretty new at the stuff.

    Find the laplace of:-
    1. sinh(3t-4)
    Use:

    \sinh(3t-4)=\dfrac{e^{3t-4}-e^{-(3t-4)}}{2}

    CB
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