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Second Order non-linear ODE

  1. Feb 15, 2010 #1
    Hello, I was wondering if anyone could shed some light upon solving this:

    s(x)'' = (a b s(x)) / ||s(x)||^3

    Where s is a n dimensional vector, || || is operation finding the magnitude and a and b are constants.

    Is this solveable or will I have to use alternative numerical methods?
     
    Last edited: Feb 15, 2010
  2. jcsd
  3. Feb 15, 2010 #2
    From what I can see, this a second order non-homogeneous ODE, that is it is linear, unless s(x) depends on y(x) in some way.
     
  4. Feb 15, 2010 #3
    Damn, silly me. Fixed.
     
  5. Mar 23, 2010 #4
    bump, I only need it solved in 1, 2 or 3 dimensions.
    Anyone please?
     
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