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Homogenous Ordinary Differential Equation

  1. Feb 27, 2013 #1
    1. The problem statement, all variables and given/known data

    x2y"-(x2+2x)y'+(x+2)y=0

    known solutions:

    y1(2)=2
    y1'(2)=1
    y2(2)=2e2
    y2'(2)=3e2

    Determine the wronskian
    2. Relevant equations

    yc=C1er1x+C2er2x

    I also know how to find the wronskian via a determinant
    3. The attempt at a solution

    I have tried to divide out the first x2 term to make this a linear system, not sure how to simplify after this to find the characteristic solution.
     
    Last edited by a moderator: Feb 27, 2013
  2. jcsd
  3. Feb 27, 2013 #2
    I found the answer using Abel's theorem.
     
  4. Feb 27, 2013 #3
    nvm: I see you found your answer.

    Isn't the complementary general solution equations you provided for differential equations with constant coefficients, rather than coefficients that are functions of a variable?
     
    Last edited: Feb 27, 2013
  5. Feb 27, 2013 #4
    you are correct. I was confused with the question and obviously drew a blank.
     
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