Airy's Equation

  • Thread starter robbin53
  • Start date
  • #1
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Main Question or Discussion Point

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.
 

Answers and Replies

  • #2
441
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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.
 
  • #3
4
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Thanks, I started that to do that, I'm glad I'm going about it the right way!
 

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