Answer: The problems for Section 3.8 deal with eigenvalues and eigenfunctions and may be

Chapter , Problem 4

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The problems for Section 3.8 deal with eigenvalues and eigenfunctions and may be used here as well. In 1 through 5, verify that the eigenvalues and eigenfunctions for the indicated SturmLiouville problem are those listed.y00 C y D 0, hy.0/ y0.0/ D y.L/ D 0 (h>0); n D2n=L2, yn.x/ D n cos nx=L C hL sin nx=L (n = 1),where n is the nth positive root of tan x D x=hL.

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