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Given the following BVP: v'u = 0, r< 1, 0

Given the following BVP: v'u = 0, r< 1, 0

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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Given the following BVP: v'u = 0, r< 1, 0 <e <T u(r.0) = ue(r.) = 0,r<1 u(1,0) = f(0) and Ju(r,0)l < M Let u(r,0) = R(r)Ø(0), (Hint: The eigenvalues and eigenfunctions of the SLP y" + Ay = 0, y(0) = 0, y'(L) = 0 An = () and Yn ((2n-1)m) ((2n-1)mx) are nEN 21 22 The form of R,(r) must be: O A. r(2n-1)2 В. (2n–1)2 r 4 -(2n-1)2 С. r 4 O D. None O . r -(2n-1)²
Transcribed Image Text:Given the following BVP: v'u = 0, r< 1, 0 <e <T u(r.0) = ue(r.) = 0,r<1 u(1,0) = f(0) and Ju(r,0)l < M Let u(r,0) = R(r)Ø(0), (Hint: The eigenvalues and eigenfunctions of the SLP y" + Ay = 0, y(0) = 0, y'(L) = 0 An = () and Yn ((2n-1)m) ((2n-1)mx) are nEN 21 22 The form of R,(r) must be: O A. r(2n-1)2 В. (2n–1)2 r 4 -(2n-1)2 С. r 4 O D. None O . r -(2n-1)²
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