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

Chapter , Problem 2

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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, y.0/ D y0.L/ D 0; n D .2n 1/22=4L2,yn.x/ D sin.2n 1/x=2L, n = 13.

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