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Understanding the concept of laplace transformations

  1. Apr 26, 2005 #1
    I'm having trouble understanding the concept of laplace transformations.

    my book states that it is comparing how much a function y(t) is like a standard function. what exactly does the answer mean such as y(s)=1/(s-2)
    is this the differnence between the functions depending on the value of s

    and further more how does taking the integral from zero to infinity of two functions tell me how much alike they are

    stupid vague books i hate when they pull equations out of the air and don't explain where they come from and what they mean :devil:
  2. jcsd
  3. Apr 26, 2005 #2
    The idea of Laplace Transformations is to transform a function in terms of t into s. Do some algebraic work and then take the inverse Laplace transform for the solution.

    So given that you have a function in terms of s, that needs to be inversed transformed. You like it up in a table to see that your [itex]Y(s) = \frac {1}{s-2}[/itex] is in the form

    [tex]F(s) = \frac {1}{s-a}[/tex] and its inverse transform is

    [tex]\mathcal{L}^{-1} \{F(s)\} = e^{at}[/tex]

    So for you

    [tex]\mathcal{L}^{-1} \{F(s)\} = e^{2t}[/tex]
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