Consider the problemx2y= (xy y), y(1) = 0, y(2) = 0.Note
Chapter 11, Problem 24(choose chapter or problem)
Consider the problemx2y= (xy y), y(1) = 0, y(2) = 0.Note that appears as a coefficient of yas well as of y itself. It is possible to extendthe definition of self-adjointness to this type of problem and to show that this particularproblem is not self-adjoint. Show that the problem has eigenvalues but that none of themis real. This illustrates that in general, nonself-adjoint problems may have eigenvalues thatare not real.
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