Given the following, find the eigenvalues and eigenfunctions. Verify orthogonality.

y’’ – 8y’ + (lambda + 16)y = 0

y(0) = 0

y(pi) = 0

Not entirely sure how to map this into the SL equation: [p(x)y’]’ + [q(x) + lambda*r(x)]y = 0

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- October 25th 2009, 09:24 AMeurofotbalSturm-Loiuville Problem
Given the following, find the eigenvalues and eigenfunctions. Verify orthogonality.

y’’ – 8y’ + (lambda + 16)y = 0

y(0) = 0

y(pi) = 0

Not entirely sure how to map this into the SL equation: [p(x)y’]’ + [q(x) + lambda*r(x)]y = 0