The Sturm-Liouville problem for the equation d(2)X/dx(2) + lambda(2)X = 0 on a closed interval with general unmixed boundary conditions leads to periodic, linear, and exponential eigenfunctions. However, examples of physical situations where different types of these eigenfunctions are employed together in a general solution are difficult to find. We present a physical problem of this type. (C) 2004 American Association of Physics Teachers. [References: 11]
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