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The First Problem: Solve the following nonhomogeneous problem by decomposing the solution into two parts( similar ideas used in the lecture notes for section

The First Problem: Solve the following nonhomogeneous problem by decomposing the solution into two parts( similar ideas used in the lecture notes for section 8.2). u = kuxx+cos(2x), where A, B are constants. u(0,t) = A, u(L,t) = B, u(x, 0) = f(x)

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