Question: =1, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

ANSWER NO. 3 ONLY FOR THE IMAGE BELOW

Question:
=1, 0<x<
3. Develop f(x) in a Fourier series in the interval (0, 2) if f(x) = x, 0<x<1
Find the Fourier expansion for fir) --
Answer:
=0, 1<x<2.
3. fx)=(0
2
COS TEX+
cos 3x
32
+
сов 5лх
52
4.
fx)=2sin(x-1
2xx
sin
sin
3xx
sin 2x
sin x+
sin 3xx
+
+
2
3
Transcribed Image Text:Question: =1, 0<x< 3. Develop f(x) in a Fourier series in the interval (0, 2) if f(x) = x, 0<x<1 Find the Fourier expansion for fir) -- Answer: =0, 1<x<2. 3. fx)=(0 2 COS TEX+ cos 3x 32 + сов 5лх 52 4. fx)=2sin(x-1 2xx sin sin 3xx sin 2x sin x+ sin 3xx + + 2 3
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