Abstract
(3) a2(x)f'(X) + (a2(x) a,(x))f(x) = 0. Likewise, it is a familiar fact ([2, p. 45], [4]) that an odd order differential equation with real coefficients cannot be formally self adjoint. However, the answer to the following is less well known: can a differential equation of order 2n (n >? 2), with real coefficients, be made formally self adjoint by multiplying it by a suitable function f(x)? If so, how does one find this f(x)? It is the purpose of this article to answer these questions.
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