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Autonomous equations

  1. Aug 30, 2012 #1
    hi guys , i want to write a complicated differential equation as autonomous equations , is there any method ? i have no idea to overcome it !

    thank you
  2. jcsd
  3. Aug 31, 2012 #2
    It may be possible to introduce a new variable, which will eliminate the time from the equation. For example:

    (x' - x)t + x = 0

    Let u = xt and the equation becomes

    u' = u

    If that fails, you can always convert an equation to an autonomous system of two equations in two variables, letting the second variable = time.
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