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Initial value problem of ord diff eq

  1. Nov 11, 2011 #1
    1. The problem statement, all variables and given/known data

    3y'' -y' + (x+1)y = 1
    y(0) = y'(0) = 0


    2. Relevant equations

    Not sure, that's the issue


    3. The attempt at a solution

    I can't quite get this one using the methods I'm familiar with, and I can't guess a particular solution to neither the equation nor the homogenous version thereof. Do I have to use the power series method?
     
  2. jcsd
  3. Nov 11, 2011 #2

    LCKurtz

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    Yes, I would expect that.
     
  4. Nov 11, 2011 #3

    lurflurf

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    Use series or change variables to reduce it to the Airy equation.
     
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