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
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