Question: 6. Consider the diffusion equation ut = uzz in {0 0} with u(0, t) = u(1, t) = 0 and u(x, 0) = 4r(1 -

6. Consider the diffusion equation ut = uzz in {0 0} with u(0, t) = u(1, t) = 0 and u(x, 0) = 4r(1 - x). (a) Show that 0 0. (b)Show that u(x, t) = u(1 - x, t) for all 0

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