i need this question completed in 5 minutes with handwritten working out 7.(a) If the Fourier transform of f(x) is f(k), show that the Fourier transform ofƒ(x) is f(−k). Hint: the inverse Fourier transform may be useful hereUse a Fourier transform technique to solve the Airy equation(b)u"(x) = xu(x)by finding a integral formula for u(x).

7) (a)If the Fourier transform of f(x) is f^(k) i.e., We need to show that We will use the…

Answered: If the Fourier transform of f(x) is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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If the Fourier transform of f(x) is ƒ(k), show that the Fourier transform of ƒ(x) is f(−k). Hint: the inverse Fourier transform may be useful here Use a Fourier transform technique to solve the Airy equation u" (x) = xu(x) by finding a integral formula for u(x).