In each of 7 through 10, assume that all eigenvalues are

Chapter 11, Problem 9

(choose chapter or problem)

In each of 7 through 10, assume that all eigenvalues are real.(a) Determine the form of the eigenfunctions and the determinantal equation satisfied by thenonzero eigenvalues.(b) Determine whether = 0 is an eigenvalue.(c) Find approximate values for 1 and 2, the nonzero eigenvalues of smallest absolute value.(d) Estimate n for large values of n.y+ y = 0, y(0) y(0) = 0, y(1) + y(1) = 0

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