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Decoupled or coupled?

  1. Dec 3, 2009 #1
    [tex]\ddot{x}=\dot{z}[/tex]

    [tex]\ddot{z}=\dot{x}[/tex]

    there should be z with a dot above it just like the x, but there is none, and the code is correct as far as I know. Can someone help? Thanks.
     
    Last edited: Dec 3, 2009
  2. jcsd
  3. Dec 3, 2009 #2
    Coupled.
     
    Last edited: Dec 3, 2009
  4. Dec 4, 2009 #3
    do you know what makes it coupled?
     
  5. Dec 4, 2009 #4
    The fact that there are no equations that contain only x or only z.
     
  6. Dec 5, 2009 #5
    Thank you :)
     
  7. Dec 5, 2009 #6
    Also notice that if you use a substitution u=x+z, v=x-z, you get a pair of uncoupled equations.
     
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