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Question: Question on Fourier Transforms

Question:Question on Fourier Transforms

Dr. Joe Salacuse 20 Maple
fourier fourier-transform
November 13 2023
1

When the Fourier transform to the heat equation for example it is useful to represent the Fourier transform of a derivative as the derivative of the transform.  Thus

        FT{d(U(x, t)/dt}  = d(FT{U(t))} / dt,

Where FT => Fourier transform wrt the variable x.

How do I get Maple to obtain the above.

Joe Salacuse
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