sin(1-2n 1-2 sin(1+2a) 1-2 %3D
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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why is ((1/pi)((cosnpi))/(1+2n))+((cos(npi)/(1-2n))=2*(-1)^(n+1)/pi(4n^2-1)
![M Inbox (38428) - seabhaskar1150 x
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b In Problems 1-16 find the Fourier X
A bartleby.com/solution-answer/chapter-112-problem-10e-differential-equations-with-boundary-value-problems-mindtap-course-list-9th-edition/9781337604918/in-problems-116-find-the-fourier-series-of-f-on-the-given-interval-give-the-number-to-w... *
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< Chapter 11.2, Problem 10E >
Substitute p = I and obtain the value of a, as follows.
/ r) cos
плх
dx
an =
0- cos 2nxdx +
cos x cos 2nxdr
=20+;
2 cos x cos 2nxdx
[cos (1+ 2n) x + cos (1 – 2n) x] dx
Simplify further as,
sin(1+2n)x
sin(1-2n)x
+
an =
1+2n
1-2n
sin(1+2n)
sin(1-2n)
+
I+2n
1-2n
2(-1y+1
a(4n?–1)
2(-1)*+1
Thus, the value of an is an
#(4n²–1) *
Substitute p = 4 and obtain the value of b, as follows.
плх
/ f) sin-
b, =
dx
0 . sin 2nxdx +
cos x sin 2nxdx
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Transcribed Image Text:M Inbox (38428) - seabhaskar1150 x
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b In Problems 1-16 find the Fourier X
A bartleby.com/solution-answer/chapter-112-problem-10e-differential-equations-with-boundary-value-problems-mindtap-course-list-9th-edition/9781337604918/in-problems-116-find-the-fourier-series-of-f-on-the-given-interval-give-the-number-to-w... *
= bartleby
Q Search for textbooks, step-by-step explanations to homework questions, .
E Ask an Expert
e Bundle: Differential Equations with Bou...
< Chapter 11.2, Problem 10E >
Substitute p = I and obtain the value of a, as follows.
/ r) cos
плх
dx
an =
0- cos 2nxdx +
cos x cos 2nxdr
=20+;
2 cos x cos 2nxdx
[cos (1+ 2n) x + cos (1 – 2n) x] dx
Simplify further as,
sin(1+2n)x
sin(1-2n)x
+
an =
1+2n
1-2n
sin(1+2n)
sin(1-2n)
+
I+2n
1-2n
2(-1y+1
a(4n?–1)
2(-1)*+1
Thus, the value of an is an
#(4n²–1) *
Substitute p = 4 and obtain the value of b, as follows.
плх
/ f) sin-
b, =
dx
0 . sin 2nxdx +
cos x sin 2nxdx
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