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General solution to the euler-cauchy equation

  1. Oct 17, 2005 #1
    why does the general solution to the euler-cauchy equation only work for x>0?
     
  2. jcsd
  3. Oct 17, 2005 #2

    HallsofIvy

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    It doesn't. It may well work for x< 0. Certainly, because the general equation has a singularity at x= 0, we can't expect a general solution to exist at x= 0 or be extended past x= 0- but you can have solutions that are valid for x> 0 and solutions that are valid for x< 0.
     
  4. Oct 18, 2005 #3
    ok, that makes sense~ :)
     
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