Exercises 1 Let f(a) be a function of period 2n such that f(x) = over the interval 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercises 1
Let f(a) be a function of period 2n such that
f(x) =
over the interval 0 < x < 2n.
a) Sketch a graph of f(x) in the interval 0 < r < 4m
b) Show that the Fourier series for f(x) in the interval 0 <x < 2n is
1
sin 2.x +
1
sin 3.x +
3
sin r +
c) By giving an appropriate value to a, show that
1
1
3
1
1
1
7
9.
Transcribed Image Text:Exercises 1 Let f(a) be a function of period 2n such that f(x) = over the interval 0 < x < 2n. a) Sketch a graph of f(x) in the interval 0 < r < 4m b) Show that the Fourier series for f(x) in the interval 0 <x < 2n is 1 sin 2.x + 1 sin 3.x + 3 sin r + c) By giving an appropriate value to a, show that 1 1 3 1 1 1 7 9.
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