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Homework Help: Proving the superposition of initial conditions gives superposition of motion

  1. Sep 28, 2005 #1
    I have a problem that says to prove the superposition of initial conditions gives superposition of corresponding motion for two coupled oscillators. My question is:

    What do they mean by coupled oscillators? Do they mean coupled pendulums? Double LC circuits? If it's coupled pendulums are the pendulums the same mass? I know how to do the math for the specific types of coupled oscillators, but I don't think there is a general way to derive the motion of coupled oscillators without specifics about what type oscillator it is.
  2. jcsd
  3. Sep 28, 2005 #2


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    You should know the differential equation governing the motion of the system.
    All you really require is that the DE's be linear.
  4. Sep 28, 2005 #3
    Edit: I can't use Latex =(

    Ah, thank you
    Last edited: Sep 28, 2005
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