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Degree of a DE

  1. Apr 24, 2010 #1
    1. The problem statement, all variables and given/known data

    My question wants me to give the Order of the DE, Degree of the DE, and Non-Linear terms in the DE

    2. Relevant equations

    [d^2/dx^2 y(x)]^6 + d^4/dx^4 y(x) + [d^5/dx5 y(x)][d/dx y(x)] + x^4[d^3/dx^3 y(x)] = 3cos(2y(x)) + x^2 - 1

    3. The attempt at a solution

    I know the Order is 5, I know the Non-Linear are the values in brackets, but my teacher has the answer for the Degree = 1

    Why is this? I thought it would be 6, as the degree of a DE is the highest derivative term. Or is it because there are more terms with the power of 1?
     
  2. jcsd
  3. Apr 24, 2010 #2

    LCKurtz

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    The degree is the power to which the highest order derivative is raised. Your 5th order derivative is raised to the first power.
     
  4. Apr 24, 2010 #3
    Ahhhhh, I see. Thank you, couldn't find a simple answer for ages. Very much appreciated!
     
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