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Problem 4 (superposition, Haberman 2.4.1) (a) Solve the initial/boundary value problem for the 1-D heat equation on (0, 2) x (0, co) u(0, t) =

Problem 4 (superposition, Haberman 2.4.1) (a) Solve the initial/boundary value problem for the 1-D heat equation on (0, 2) x (0, co) u(0, t) = 0 = u(2, t), t>0 u(x, 0) =1- |x - 1, 00) (3) u(r, 0) =0, 00 (4) v(x, 0) = 0, 0

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