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(a) Use Fourier tranform to solve d'y + 4 dx2 dy + Ay = 9H(-I)e given that y -+ 0 as r -+ too. Hint:

(a) Use Fourier tranform to solve d'y + 4 dx2 dy + Ay = 9H(-I)e given that y -+ 0 as r -+ too. Hint: H(r) represents the step function. (b) Invert the Fourier transform

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