Autonomous equations

  • Thread starter thecoop
  • Start date
  • #1
15
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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
 

Answers and Replies

  • #2
6,054
391
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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