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6 Sturm-Liouville Eigenvalue Problems

d dx p(x) dy dx +q(x)y = F(x). (6.5) Another way to phrase this is provided in the theorem: Theorem 6.1. Any second order linear operator can be put into the form of the Sturm-Liouville operator (6.2). The proof of this is straight forward, as we shall soon show. Consider the equation (6.1). If a 1(x) = a′ 2(x), then we can write the equation ...

  Problem, Sturm, 6 sturm liouville eigenvalue problems, Liouville, Eigenvalue