The Airy function Ai(x) is the unique solution of d2y dx2 xy = 0 that satisfies (1) limx

Chapter 10, Problem 10.4.6

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The Airy function Ai(x) is the unique solution of d2y dx2 xy = 0 that satisfies (1) limx y = 0 (2) y(0) = 32/3/( 2 3 )=32/3( 1 3 ) 3/2 = 1/ 0 cos(3/3) d (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 10.3.8.)

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