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Is this differential system of equations *coupled*?

  1. Sep 15, 2011 #1
    I am struggling with whether or not to define the following system as coupled:
    Using LaTeX (reload if it doesn't display properly)

    [itex]\ddot{x}+A*x=0[/itex]

    [itex]\ddot{y}+A*y=0[/itex]

    [itex]\ddot{z}+A*z=0[/itex]​

    where A is a known constant equal to [itex]A=\sqrt{x^2+y^2+z^2}[/itex]

    So, what do you think?
     
    Last edited: Sep 15, 2011
  2. jcsd
  3. Sep 15, 2011 #2

    LCKurtz

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    Yes, it is a coupled system. Even if A is constant so the solution is apparently restricted to a sphere, still the value of x depends on y and z. I don't 100% guarantee this answer though.
     
  4. Sep 25, 2011 #3

    HallsofIvy

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    Yes, these equations are coupled.
     
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