## The Use of Integral Transforms |

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alternative Applying arbitrary assume boundary conditions boundary value problem calculate called consider constant continuous converges convolution corresponding cosh cosine transform deduce defined definition denotes derive determine differential equation discussion distribution easily equivalent example exists expression finite follows formula Fourier transform function f(x give given Hankel transform hence illustrate immediately initial conditions instance integral equation interval introduce inversion formula inversion theorem kind Laplace transform lemma means Mellin transform method obtain operator pair partial particular physics positive positive integer prescribed Prob properties Prove relation replaced respect result satisfies sech sequence shown similar Similarly simple sine transform sinh solution strip Substituting Suppose tanh theory variable write written