4. Expand f(t)=sint, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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DIFFERENTIAL EQUATIONS BMCG 1013
in a half-range:
ANSWER: f(t)=sin(1-n) sin(1+n) sinnt
711
1-n
1+n
2
[1-cos(1+n) 1-cos(1-n)
+
cosnt
ANSWER: f(t)= =1+1
T In
1+n
1-n
4. Expand f(t)= sint, 0<t<
a) Sine series
b) Cosine series
Transcribed Image Text:DIFFERENTIAL EQUATIONS BMCG 1013 in a half-range: ANSWER: f(t)=sin(1-n) sin(1+n) sinnt 711 1-n 1+n 2 [1-cos(1+n) 1-cos(1-n) + cosnt ANSWER: f(t)= =1+1 T In 1+n 1-n 4. Expand f(t)= sint, 0<t< a) Sine series b) Cosine series
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