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In each of Problems 1 through 8, find the steady-state solution of the heat conduction equation...

In each of Problems 1 through 8, find the steady-state solution of the heat conduction equation α2uxx = ut that satisfies the given set of boundary conditions.

1. ux (0, t) = 0, u( L, t) = 0

2. u(0, t) = 0, ux ( L, t) = 0

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