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Homework Help: Properties of differential operators

  1. Apr 29, 2013 #1
    1. The problem statement, all variables and given/known data
    Hi, I am solving a system of differential equations and in one of my equations I have this,
    (D+2)X+(D+2)Y=0 where X and Y are variables, D is my differential operator.
    My question is, would it be mathematically correct to divide out (D+2)
    and thus getting X+Y=0, X=-Y ?
  2. jcsd
  3. Apr 29, 2013 #2


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    No, it wouldn't.
  4. Apr 29, 2013 #3


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    No, (D+2) isn't an invertible operator. There are functions that satisfy (D+2)Z=0 where Z isn't 0. Try to take that into account and try again.
  5. Apr 29, 2013 #4
    Ah alright, thank you. That explains why my answer seemed to make no sense.
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