For the strong form:d(1 – 2x2)| + u = x³, for 0

Name: For the strong form:d(1 – 2x2)| + u = x³, for 0
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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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For the strong form:
d
(1 – 2x2)| + u = x³, for 0 <x < 1
du
dx
u(0) = 1,
dx
= 2
x=1
Obtain (i) primary variable(s), (ii) secondary variable(s), (iii) the weak form, (iv) bilinear and linear
forms, and (iv) the quadratic functional.

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