Results 1 to 1 of 1

Thread: Stable Equilibrium

  1. August 28th 2008, 04:41 AM #1
    QuestionMark
    QuestionMark is offline
    Newbie
    Joined
    Aug 2008
    Posts
    4

    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.
    Follow Math Help Forum on Facebook and Google+
« what is derivative of 1/(1+x) | please help, analysis problem.. »

Similar Math Help Forum Discussions

  1. [SOLVED] Stable by but not Asymptotically Stable
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: September 9th 2010, 04:26 AM
  2. Equilibrium stable or unstable - differential euqation
    Posted in the Differential Equations Forum
    Replies: 20
    Last Post: July 23rd 2010, 08:34 AM
  3. stable/unstable DEs
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: April 25th 2010, 03:43 PM
  4. alpha stable
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: July 16th 2009, 11:12 AM
  5. Stable, but not asymptotically stable
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: February 25th 2009, 10:06 AM

Search Tags


/mathhelpforum @mathhelpforum