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Math Help - Basic Transform of Derivative Help?

  1. #1
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    Basic Transform of Derivative Help?

    A simple problem to start to see the process would be helpful

    Find L{f'(t)} if L{f(t)} = 1/(s-2)^2 initial condition f(0)=0
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    Quote Originally Posted by chief27 View Post
    A simple problem to start to see the process would be helpful

    Find L{f'(t)} if L{f(t)} = 1/(s-2)^2 initial condition f(0)=0
    Go to your table of Laplace Transforms (or use Google if you don't have one) and get the formula for L{f'(t)}. Substitute the given information into it.
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  3. #3
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    I looked and couldn't find any formula for it not even in my diff eq text book.
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    Quote Originally Posted by chief27 View Post
    I looked and couldn't find any formula for it not even in my diff eq text book.
    Google not working today?

    It was when I tried: Laplace Transform of Derivative

    (Maybe your book has pages torn out - you better check because there might be other formulae you need that are on pages that are missing).
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  5. #5
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    i just found that not 1 minute ago lol

    using that formula for a first deriv I got

    L[f'(t)]=sL[1/(s-2)^2] - 0

    is that all I have to do?
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    Quote Originally Posted by chief27 View Post
    i just found that not 1 minute ago lol

    using that formula for a first deriv I got

    L[f'(t)]=sL[1/(s-2)^2] - 0

    is that all I have to do?
    Using the formula: L[f'(t)] = s L[f(t)] - f(0) = s \cdot \frac{1}{(1 - s)^2} - 0 = \frac{s}{(1 - s)^2}.
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  7. #7
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    thanks for the help
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