Answered: 1. Construct functional for the…

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1. Construct functional for the following boundary value problem: d? (a(x)) + bu – q(x) = 0, 0

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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Question

1. Construct functional for the following boundary value problem:
d?
(a(x)) + bu – q(x) = 0,
0 <x < L ,
dx²
subject to the conditions
u(0) = 0 = () (a(x).
= -M, (a(x)) =-F ,
x=0
dx².
x=L
dx²,
where b, M, F are the constants.

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