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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve 10.3.11) thanks

10.3.11) Verify that sin(t) – sin(2t) + sin(3t) – sin(4t) + · .= ; for -T < t <n.
Use this to conclude that 1- +-+..
= 1.
T
%D
10.5.2) We know that fi (t) = 2(-1)* sin(nt) = t for -7 <t <n. Use this and the formulas for integration
n=D1
n
to compute the Fourier series of
a) f2(t) = t².
Transcribed Image Text:10.3.11) Verify that sin(t) – sin(2t) + sin(3t) – sin(4t) + · .= ; for -T < t <n. Use this to conclude that 1- +-+.. = 1. T %D 10.5.2) We know that fi (t) = 2(-1)* sin(nt) = t for -7 <t <n. Use this and the formulas for integration n=D1 n to compute the Fourier series of a) f2(t) = t².
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