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Tough 2nd Order DE

  1. Apr 9, 2012 #1
    T1. The problem statement, all variables and given/known data

    Solve x*y'' + y' - a*y = 0

    where a > 0


    2. Relevant equations

    Not sure whats relevant here. See Below.

    3. The attempt at a solution

    I think this can be solved by changing the independent variable. I tried x = √t, x = 1/t, x = ln(t), x = exp(t) but these seem to make the transformed DE more complicated.

    I don't think I can use Reduction of Order or Variation of parameters here. I don't have any solution y_1.
     
  2. jcsd
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