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Homework Help: Homogenous Equations

  1. Oct 6, 2011 #1
    1. The problem statement, all variables and given/known data

    Does the fact that a statement is homogeneous mean that it is correct? Explain

    2. Relevant equations

    no relevant equations

    3. The attempt at a solution
    No, it does not mean it is correct. this is because....?
  2. jcsd
  3. Oct 6, 2011 #2

    rude man

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    Homework Helper
    Gold Member

    First, 'homogeneous' in general parlance does not mean 'correct'. It means 'of uniform consistency'. As in 'homogenized milk' or 'homogeneous societies'.

    Second, 'homogeneous' referring to differential equations has very distinct meanings. In fact, there are 2 meanings attached to the term if the d.e. is 1st order, which is nice and confusing, and one for linear d.e.'s of any order.

    It's a dumb term. Makes absolutely no sense. But you have to learn to handle d.e.'s in the form described as "homogeneous" anyway.
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