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The following initial boundary value problem a _ 1% (it _ 2 6x2, u(x,0) = f(x), 0 0, where describes the concentration, 110:, t), of pollutant diffusing on [0, 3]. a.) Solve the initial boundary value problem. If you know the correct formal solution, you may use it without having to rederive it. b.) Calculate the total amount of pollutant in [0, 2] at equilibrium