10.2.4) Compute the Fourier series for the 2-periodic function f(t) = t for 0 st< 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I only need the first one, thanks.
10.2.4) Compute the Fourier series for the 2-periodic function f(t) =t for 0 st< 2.
HINT: use formula (10) of Remark 1 in this section to maké the integrals easier.
10.3.11) Verify that sin(t) – sin(2t) + § sin(3t) – sin(4t) + · · · =
i for -T <t <T.
Use this to conclude that 1-+-+=
10.5.2) We know that fi(t) = E
2(-1)n+1
sin(nt) = t for -n < t < r. Use this and the formulas for integration
to compute the Fourier series of
a) f2(t) = t².
b) f3(t) = t³.
Transcribed Image Text:10.2.4) Compute the Fourier series for the 2-periodic function f(t) =t for 0 st< 2. HINT: use formula (10) of Remark 1 in this section to maké the integrals easier. 10.3.11) Verify that sin(t) – sin(2t) + § sin(3t) – sin(4t) + · · · = i for -T <t <T. Use this to conclude that 1-+-+= 10.5.2) We know that fi(t) = E 2(-1)n+1 sin(nt) = t for -n < t < r. Use this and the formulas for integration to compute the Fourier series of a) f2(t) = t². b) f3(t) = t³.
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10.2.4)

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