در عامرفاضل نصار جامعة تكريت كلية التربية ل لبقات قسم الرياضيات المرحلة الثالثة المعادلات التفاضلية الجزنية Exercise (3-2): find Fourier series on [0,2n] Question Answer (1) f(x)= x/2 sin nx n- (2) f(x)= T-x 2 sin nx (3) f(x)=sin.x sin x (4) f(x)= cos x COS X (5) f(x) =xsin x -1+ COS nx n n -1 (6) f(x)=xcos x 2n(-1)" sin(nx) H(n-1)(n +1) 0

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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در عامرفاضل تصار
Exercise (3-2): find Fourier series on [0,2n]
جامعة تكريت كلية التربية لبقات قسم الرياضيات المرحلة الثالثة المعادلات التفاضلية الجزدية
Question
Answer
(1) f(x)= x/2
sin nx
(2) f(x)= T-x
2sin nx
(3) f(x)=sin.x
sin x
(4) f(x)= cos x
COS X
(5) f(x) =xsin x
-1+E=
n- n -1
COS nx
(6) f(x)=xcos x
2n(-1)"
sin(nx)
H(n-1)(n +1)
0<x<T
5l-(-1)",
1
sin nx
(7) f(x) =-
2
1 T<x<2
(-1
0<x<T
-1+(-1)"
(8) f(x) =-
1
sin nx
11
1.
f(x) =
2 <x< 2T
0<x<T
3
1-(-1)"
sin nx
-1/4
(10) f(x)={
1+(-1)"
sin nx
- T<x<0
0<x<T
37
-1)" -1
sin nx
(11) f(x) =
COS nX -
4
T -x
0<x<T
(-1)"-1
sin nx
(12) f(x) ={
COS nx +
T<x< 27
4
(13) f(x)=}
0<x<T
FE cos nx
27-x
T<x<2n
Transcribed Image Text:در عامرفاضل تصار Exercise (3-2): find Fourier series on [0,2n] جامعة تكريت كلية التربية لبقات قسم الرياضيات المرحلة الثالثة المعادلات التفاضلية الجزدية Question Answer (1) f(x)= x/2 sin nx (2) f(x)= T-x 2sin nx (3) f(x)=sin.x sin x (4) f(x)= cos x COS X (5) f(x) =xsin x -1+E= n- n -1 COS nx (6) f(x)=xcos x 2n(-1)" sin(nx) H(n-1)(n +1) 0<x<T 5l-(-1)", 1 sin nx (7) f(x) =- 2 1 T<x<2 (-1 0<x<T -1+(-1)" (8) f(x) =- 1 sin nx 11 1. f(x) = 2 <x< 2T 0<x<T 3 1-(-1)" sin nx -1/4 (10) f(x)={ 1+(-1)" sin nx - T<x<0 0<x<T 37 -1)" -1 sin nx (11) f(x) = COS nX - 4 T -x 0<x<T (-1)"-1 sin nx (12) f(x) ={ COS nx + T<x< 27 4 (13) f(x)=} 0<x<T FE cos nx 27-x T<x<2n
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