The Airy function Ai(x) is the unique solution of that satisfies limx rightarrow

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The Airy function Ai(x) is the unique solution of that satisfies limx rightarrow infinity y = 0 y(0) = 3-2/3/ (2/3) = 3-2/3 (1/3) 3/2 pi = 1/ pi 0 infinity cos( omega 3/3) d omega (it is not necessary to look at Exercises 10.3.15 and 10.3.17). Determine a Fourier transform representation of the solution of this problem, Ai(x). (Hint. See Exercise 103.8.) Solve the linearized Korteweg-deVries equation Use the convolution theorem to simplify. See Exercise 10.4.6 for a further simplification. Specialize your result to the case in which

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