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Math Help - Stable Equilibrium

  1. #1
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    Stable Equilibrium

    This may be a dumb question to those who have experience with ODEs but I cant figure out how to answer the following questions:

    Is 0 a stable equilibrium of  x''(t) + 2x^3(t) = 0?

    Is 0 an asymptotically stable equilibrium of  x''(t) + 2x^3(t) = 0?

    I'm familiar with the definition of a stable equilibrium but I seem to have a mental block when it comes to figuring these out. Any help would be much appreciated.

    Last edited by QuestionMark; August 28th 2008 at 04:56 AM.
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