Abstract
A representation for the general solution of the equation (pu′)′ + qu = ω2 u in terms of a non-trivial solution of is given. This result is obtained with the aid of the theory of pseudoanalytic functions and their relationship to solutions of the stationary two-dimensional Schrödinger equation. The representation has a simple and easily verifiable form and lends itself to numerical computation. Its applications to spectral problems are discussed.
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