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Is there any book talking about system of 2nd order ODE?

  1. Jun 2, 2012 #1
    I got trouble in dealing with this kind of system. For example,
    Ay``+By`+Cy=0
    where y=transpose(y1 y2)
    A=(1 0
    0 1)
    B=(0 1
    1 0)
    C=(1 1
    1 1)

    May someone give me a book name?:smile:
     
  2. jcsd
  3. Jun 2, 2012 #2
    but can't you make a second order diff eq into a sysytem by letting v=y'?
     
  4. Jun 4, 2012 #3
    um...then what is y?
     
  5. Jun 4, 2012 #4
  6. Jun 4, 2012 #5
    If you just want a book, Strogatz Nonlinear Dynamics and Chaos is very good.
    this links supports PF

    It's mainly a book on systems of ODEs and explains what algebrat mentioned.
     
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