2. f(x) is the function whose graph consists of the two bold line segments shown in Fig. 7. (-7, 0) Answer: FIGURE 7 3 ²/2 + ²[ Σ n=1 y (0, 2) O Answer: 1-(-1)" (nπ)² 1 3. f(x) = x + x² (−1 < x < π). cos nx + +Σ(-1)" (TT, 2) (77, 0) Suggestion: Use the series for x in Example 2, Sec. 7, and the one for x² in Problem 3(a), Sec. 5. π² 12 Cos nx n² (-1)"+1 пл 2 sin nx n sin nx
2. f(x) is the function whose graph consists of the two bold line segments shown in Fig. 7. (-7, 0) Answer: FIGURE 7 3 ²/2 + ²[ Σ n=1 y (0, 2) O Answer: 1-(-1)" (nπ)² 1 3. f(x) = x + x² (−1 < x < π). cos nx + +Σ(-1)" (TT, 2) (77, 0) Suggestion: Use the series for x in Example 2, Sec. 7, and the one for x² in Problem 3(a), Sec. 5. π² 12 Cos nx n² (-1)"+1 пл 2 sin nx n sin nx
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Can you answer no 3
Transcribed Image Text:2. f(x) is the function whose graph consists of the two bold line segments shown in
Fig. 7.
Answer:
(-TT, 0)
3
2
FIGURE 7
+2
y
(0, 2)
4
O
Answer:
8
Σ
n=1
π²
1- (-1)"
(nπ)²
12
+ Σ (-1)"
n=1
cos nx +
(TT, 2)
3. f(x) = x +
(-π < x <n).
Suggestion: Use the series for x in Example 2, Sec. 7, and the one for x² in
Problem 3(a), Sec. 5.
(TT, 0)
(°
Cos nx
n²
(−1)n+1
nπ
10
2 sin nx
sin nx
n
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