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Simultaneous Laplace transforms

  1. Feb 15, 2012 #1
    I have to try and solve the following simultaneous Laplace transform problem and don't really know which path to take can someone give me a nudge in the right direction please.

    dx/dt=4x-2y & dy/dt=5x+2y given that x(0)=2, y(0)=-2
    this is what i have so far for dx/dt=4x-2y

    And for dy/dt=5x+2y
    Not really sure where to go from here, or even if this is correct.
  2. jcsd
  3. Feb 16, 2012 #2
  4. Feb 16, 2012 #3
    Can you ellaborate a little please.
    Where did this all come from?
  5. Feb 16, 2012 #4
  6. Feb 16, 2012 #5
    Thats great, thanks alot.
    Just out of interest where has the 2s in X come from and the 18 - 2s in Y come from, i can work out the bottom lines. sorry if i appear stupid but it is 5.20am.
    From there i can use partial fractions to determine the inverse Laplace transform (I think anyway).
  7. Feb 18, 2012 #6
    I get the 2s & the 18-2s.
    Am i correct in thinking these sre complex roots and by definition are quite complex to solve especially the 18-2s one.?
    any help is appreciated
  8. Feb 20, 2012 #7
    I need to then try and find the inverse Laplace transform of X & Y can anyone assist me in telling me if i am close with:-

    This forum has been more than helpful so far and is highy recommended
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