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 method Solution: 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…
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