The problems for Section 3.8 deal with eigenvalues and

Chapter , Problem 1

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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 y0.L/ D 0; 0 D 0, y0.x/ 1 andn D n22=L2, yn.x/ D cos nx=L

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