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Problem 5. Let Jo be the Bessel function of order zero and {n} be the sequence of zeros of Jo, Jo(kn) = 0. Find the Bessel series for f(x) in terms of {Jo(knx)}=1 if : (a) f(x) = 1- x², (b) f(x) = 0.2Jo (k3x), -1 < x < 1; -1 < x < 1.

Problem 5. Let Jo be the Bessel function of order zero and {n} be the sequence of zeros of Jo, Jo(kn) = 0. Find the Bessel series for f(x) in terms of {Jo(knx)}=1 if : (a) f(x) = 1- x², (b) f(x) = 0.2Jo (k3x), -1 < x < 1; -1 < x < 1.

Advanced Engineering Mathematics
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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n=1 Problem 5. Let Jo be the Bessel function of order zero and {n} be the sequence of zeros of Jo, Jo(kn) = 0. Find the Bessel series for f(x) in terms of {Jo(knx)} if : (a) f(x) = 1 - 1² N- (b) f(x) = 0.2Jo(ka), -1 < x < 1; -1 < x < 1.
Transcribed Image Text:n=1 Problem 5. Let Jo be the Bessel function of order zero and {n} be the sequence of zeros of Jo, Jo(kn) = 0. Find the Bessel series for f(x) in terms of {Jo(knx)} if : (a) f(x) = 1 - 1² N- (b) f(x) = 0.2Jo(ka), -1 < x < 1; -1 < x < 1.
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