а.) Determine the Fourier series expansion for the periodic extension of (x, B) = cosh(ßx) for -n < x < T, where B is a fixed positive constant. b.) Then use this to compute exact values for the sums 00 (-1)" n² + B? and n² + B2 n=1 2 n=1 as functions of ß for 0 < B. Hint: Try evaulating f(x,ß) at different values of x.
а.) Determine the Fourier series expansion for the periodic extension of (x, B) = cosh(ßx) for -n < x < T, where B is a fixed positive constant. b.) Then use this to compute exact values for the sums 00 (-1)" n² + B? and n² + B2 n=1 2 n=1 as functions of ß for 0 < B. Hint: Try evaulating f(x,ß) at different values of x.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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