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Use a substitution of the form u(x, t) = f(t) v(x, t) to solve u(x,0) = 4(x), Ut Uxx = 2tu, where x ER

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Use a substitution of the form u(x, t) = f(t) v(x, t) to solve u(x,0) = 4(x), Ut Uxx = 2tu, where x ER and t 0. You may assume the solution is unique.

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