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Three Variable Simultaneous Differential Equation

  1. Jun 1, 2008 #1
    I have had a troubling time trying to solve this equation out of this book I have (not homework, just for fun). Here it is:

    dx/(y+z)=dy/(x+z)=dz/(x+y)

    I've tried the substitution u=x+y+z, du=dx+dy+dz but I couldn't arrive at an answer. Any suggestions?
     
  2. jcsd
  3. Jun 1, 2008 #2
    If it is any help, the answer is given as:

    sqrt(x+y+z) = a/(z-y) = b/(x-z)

    I think I've solved this equation before but I can't remember how.
     
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