Consider the Sturm-Liouville problem X′′(x) + λX(x) = 0 subject toX′(0) = 0, X(l) = 0....

Consider the Sturm-Liouville problem
X′′(x) + λX(x) = 0 subject toX′(0) = 0, X(l) = 0.

Are the boundary conditions symmetric?
Do these boundary conditions yield negative eigenvalues?
Determine the eigenvalues and eigenfunctions, Xn(x). (It is enough in some cases to provide the equation that determines the eigenvalues rather than an explicit formula.)
Are the eigenfunctions orthogonal?

Expert Solution

Colby Messinger answered 2 years ago

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