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The Cauchy Problem for the Diffusion Equation We consider the initial value problem for a...

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Calculus

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The Cauchy Problem for the Diffusion Equation We consider the initial value problem for a one dimensional diffusion equation with no sources or sinks 2 12 23 Ut KUxx x x t 0 where is a diffusivity constant with the initial condition u x 0 f x r 00 2 12 24

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