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ODE concepts

  1. Apr 15, 2005 #1
    Okay! Just making sure I have the concept of orders in differential equations right. So the order refers to the highest order of the derivatives, not the actual functions right?

    So a function like y + yy' = ? would be first order, y + y'' would be second order, but something like y^4 +3yy' would still be first order right?
     
  2. jcsd
  3. Apr 15, 2005 #2

    jamesrc

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    Yep, you've got it.
     
  4. Apr 15, 2005 #3

    dextercioby

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    The "order of the functions" (the power that "y" or its derivatives have in the ODE) gives the nonlinear character...

    Daniel.
     
  5. Apr 15, 2005 #4

    quasar987

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    I guess it's preferable to talk about the "degree of the ODE" instead of the "order of the function or its derivative". If degree > 1, the ODE is nonlinear.
     
  6. Apr 15, 2005 #5

    HallsofIvy

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    That's "degree". Though the original post should have referred to "order of the diffential equation", not "order of the function".
     
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