Laplace Transform

Discussion in 'Math' started by Zaraphrax, Aug 7, 2010.

  1. Zaraphrax

    Thread Starter Active Member

    Mar 21, 2009
    47
    3
    Hi all,

    Just wanting to check my answer here.

    I need to take the laplace transform of:

    v * d(x2(t) - x1(t))/dt

    I calculated this as vsX2(s) - sX1(s). Just wanting to make sure this is correct, thanks.
     
  2. Curleeee

    New Member

    Aug 12, 2010
    7
    0
    Don't forget to include the initial values of x2 and x1 :

    v[sX2(s) - sX1(s) - x2(0) + x1(0)]
     
  3. Zaraphrax

    Thread Starter Active Member

    Mar 21, 2009
    47
    3
    They're both zero. :)
     
  4. Curleeee

    New Member

    Aug 12, 2010
    7
    0
    Haha - wish all problems were as easy as that!

    One of the several advantages of using the Laplace transform (compared with standard methods for solution of differential equations) is the initial conditions are "wired in" at the start.
     
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