1 (7 – x²) sin nxdx An 2(-1)"+1 n3 II
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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и (х, 0) —
6x (T" – x") and -o = 0,
It=0
So, the values of f (x) and g (x) are,
f (x) = x (n² – x²) and g (x) = 0
X.
Substitute the value of f (x) in equation (8),
* (2² - x²) sin nxdx
An
2(-1)"+1
n3
Substitute the value of g (x) in equation (9),
Bn
(0) sin nxdx
пла
= 0
So, the values of A, and Bn are,
An
2(-1)"+1
and Bn
= 0
n3
II
יטי
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