In the lead example of this chapter, the linear system Aw = 0.04(Ï/p)λw must be solved for w and λ in order to approximate the

In the lead example of this chapter, the linear system Aw = ˆ’0.04(ρ/p)λw must be solved for w and λ in order to approximate the eigenvalues λk of the Strum-Liouville system.
a. Find all four eigenvalues μ1, . . . , μ4 of the matrix

to within 10ˆ’5.
b. Approximate the eigenvalues λ1, . . . , λ4 of the system in terms of ρ and p.

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