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Airy's Equation

  1. Dec 12, 2006 #1
    Numerically solve for the solution of Airy's equation y''=xy on the interval 0<x<1 with boundary conditions y(0)=y'(0)=1. Use the trial solution

    yhat = 1 + x + (sumation j = 2 through N) csubj*x^j.

    Where do I get started? I am so lost.
     
  2. jcsd
  3. Dec 12, 2006 #2
    hmm I can't really understand the sumattion you posted, but normally you would assume that the solution takes the form of an infinite power series.

    then you plug in for y and y' and simplify.
     
  4. Dec 12, 2006 #3
    Thanks, I started that to do that, I'm glad I'm going about it the right way!
     
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