1 to 11. Expand the same functions as in Problems 5.1 to 5.11 in Fourier series of complex exponentials ein on the interval (-,) and verify in each case that the answer is equivalent to the one found in Section 5. 3. f(x)= = 0, -T

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Chapter2: Second-order Linear Odes
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1 to 11. Expand the same functions as in Problems 5.1 to 5.11 in Fourier series of
complex exponentials ein on the interval (-,) and verify in each case that the answer
is equivalent to the one found in Section 5.
3. f(x)=
=
-1 < x <
<0
=
1,
Answer: f(x) -4-4-(
ㅠ
VIK-k
+
NE
< x < T.
COST
1
sin a
I
cos 3x
3
2 sin 2x
2
+
cos 5x
5
sin 3x
3
+
sin 5a
2 sin 6x
..).
Transcribed Image Text:1 to 11. Expand the same functions as in Problems 5.1 to 5.11 in Fourier series of complex exponentials ein on the interval (-,) and verify in each case that the answer is equivalent to the one found in Section 5. 3. f(x)= = -1 < x < <0 = 1, Answer: f(x) -4-4-( ㅠ VIK-k + NE < x < T. COST 1 sin a I cos 3x 3 2 sin 2x 2 + cos 5x 5 sin 3x 3 + sin 5a 2 sin 6x ..).
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