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Linear differential equation?

  1. Dec 7, 2008 #1
    how do i know a given nth order differential equation is linear or not?
    both for ODE as well as PDE.
     
  2. jcsd
  3. Dec 7, 2008 #2
    okay i figured it out.
    there should not be product of function and its derivatives
    neither the function nor its derivatives occur at any power other than the first power.

    m i right?
    or are there any other conditions other than these?
     
  4. Dec 22, 2008 #3
    You are right.
     
  5. Dec 22, 2008 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    I was going to suggest that you look at the definition of "linear differential equation"! I am pleased that you have already done that!
     
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