solution of Airy equation by Fourier transform method

Introduction: In this solution, We will provide a step by step solution of Airy equation by Fourier transform method.Question: Solve Airy equation \[\frac{d^{2}y}{dx^{2}}-xy=0\]by Fourier transform methodSolution:We will apply Fourier transform to Airy equation \[\frac{d^{2}y}{dx^{2}}-xy=0\]\[F\left(\frac{d^{2}y}{dx^{2}}\right)-F\left(xy\right)=0\]where F denotes for Fourier transform operatorNow…

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