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Second order non homogeneous ODE, IVP

  1. Dec 8, 2016 #1
    1. The problem statement, all variables and given/known data
    I need to solve:
    x^2y''-4xy'+6y=x^3, x>0, y(1)=3, y'(1)=9

    2. Relevant equations


    3. The attempt at a solution
    upload_2016-12-8_10-12-30.png

    I know that the answer is: y=x^2+2x^3+x^3lnx
    Where did I go wrong. I was wondering if it's even logical to solve it as an Euler Cauchy and then use variation of parameters...
     
  2. jcsd
  3. Dec 8, 2016 #2

    LCKurtz

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    Last edited: Dec 8, 2016
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