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Let a > 0 and consider Ut = QUxx, u (0, t) = 0, u(, t) = 0. Suppose that the initial condition vo(r)

Let a > 0 and consider Ut = QUxx, u (0, t) = 0, u(, t) = 0. Suppose that the initial condition vo(r) gives solution v(r, t) and the initial condition wo(x) gives solution w(x, t). If both 0 vo 1 and 0 wo 1, what is the greatest difference we could observe in the solutions v and w?

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