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Solving Coupled second order differential equations

  1. Nov 2, 2009 #1
    Just wondering does it matter which coupled differential equation you solve first
    ( i terms of time)?

    normally i just solve the first equation, so far all our tutorial question involved finding solutions to second order equations that have 2 distinct roots ( for the auxilliary equation)

    I normally rend to solve the more simpler coupled equation, but so far there has not been a difference in ease.

    anyone have any tips?
     
  2. jcsd
  3. Nov 3, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    If the equations are coupled, how can you "just solve the first equation" without regard to the second equation? I don't understand what you are saying. Can you give an example?
     
  4. Nov 4, 2009 #3
    say dy/dt = y
    and dx/dt = y + 3x

    i thought those equation were coupled, while the 1st one can be solved independently
     
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