The half range sine expansion for f(t) = t¯+ t, 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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Fourier Sine Series:
Find among the choices the half range sine expansion of the given function:

2
The half range sine expansion for f(t) = t +t, 0<t<1 is
(- 1)"
+
1]/n°n
3
3.
f(t)
45
[(-1)" – 1)/n
(- 1)"
+ [(-1)" – 1)/n°n
3
3
f(t) = E
п
(-1)"
3
+ [(-1)" –1]/n°n°
- [(-1)^ – 1/, °n°|
3
f(t) = 4E
00
(– 1)"
3.
f(t) = 4+5
חח
Transcribed Image Text:2 The half range sine expansion for f(t) = t +t, 0<t<1 is (- 1)" + 1]/n°n 3 3. f(t) 45 [(-1)" – 1)/n (- 1)" + [(-1)" – 1)/n°n 3 3 f(t) = E п (-1)" 3 + [(-1)" –1]/n°n° - [(-1)^ – 1/, °n°| 3 f(t) = 4E 00 (– 1)" 3. f(t) = 4+5 חח
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