an = bn || ["*(8a² + 7a) cos(nra/2) da (8x² + 7x) sin(nπx/2) + 2 NT 128 n²π7² 12112 +4 ["* (8x² + 7x) sin(nxx/2)dx NT 156 NT 4 n²π² (8x² + 7x) cos(nπx/2) + (16x + 7) cos(nπx/2) 4 n²7² n³773 (16x + 7) sin(nπx/2) + (16) sin(nTx/2) I 0 n³773 4 (16) cos(nTx/2) (2)] 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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Pls explain these steps in detail. Thx

An =
-
=
=
12
=
bn [*(8x² + 7x) sin(nπx/2)dx
1
2
(8x² + 7x) sin(nπx/2) +
2 NT
128
n²π²
1
2
4
(8x² + 7x) cos(nπx/2) dx
NI
2
Nπ
2
(8x² + 7x) cos(nπx/2) +
156
Nπ
4
n²π²
(16x + 7) cos(nπx/2)
4
n²π2
8
n³773
16x + 7) sin(nπx/2) +
(16) sin(nTx/2)
**/2)]*
8
n³773
(16) cos(nTx/2)
4
0
Transcribed Image Text:An = - = = 12 = bn [*(8x² + 7x) sin(nπx/2)dx 1 2 (8x² + 7x) sin(nπx/2) + 2 NT 128 n²π² 1 2 4 (8x² + 7x) cos(nπx/2) dx NI 2 Nπ 2 (8x² + 7x) cos(nπx/2) + 156 Nπ 4 n²π² (16x + 7) cos(nπx/2) 4 n²π2 8 n³773 16x + 7) sin(nπx/2) + (16) sin(nTx/2) **/2)]* 8 n³773 (16) cos(nTx/2) 4 0
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