HW: Solve the Partial Differential Equations by using separation of variables method: Ut - 4uxx = 0 Uz(0, t) = uz(1, t) = 0 u(x, 0) = f(x) = cos² t x u;(x, 0) = g(x)= sin² n x coS T X 0 < x < 1, t > 0, t> 0, 0

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