Solved: The problems for Section 3.8 deal with eigenvalues and eigenfunctions and may be
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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, y0.0/ D hy.L/ C y0.L/ D 0 (h>0);n D 2n=L2, yn.x/ D cos nx=L (n = 1), where n isthe nth positive root of tan x D hL=x. Sketch y D tan xand y D hL=x to estimate the value of n for n large.
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