Consider the equation y" + 64y = 8 sin(8x) +8+ e8. According to the method of Undetermined Coefficients, the particular solution has the form:

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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Consider the equation
y" + 64y = 8 sin(8x) +8+ e8. According to the
method of Undetermined Coefficients, the
particular solution has the form:
○ A. C₁x cos(8x) + C₂x sin(8x) + С3 + С₁е³
O B. C'₁ sin(8x) + С₂8 + С3e³
O c. C₁ cos(8x) + C₂x sin(8x) + C3 + С₁е³
OD. C₁x sin(8x) + С3x + С₁xе³x + С5xе-8x
O E. none of the above
Transcribed Image Text:Consider the equation y" + 64y = 8 sin(8x) +8+ e8. According to the method of Undetermined Coefficients, the particular solution has the form: ○ A. C₁x cos(8x) + C₂x sin(8x) + С3 + С₁е³ O B. C'₁ sin(8x) + С₂8 + С3e³ O c. C₁ cos(8x) + C₂x sin(8x) + C3 + С₁е³ OD. C₁x sin(8x) + С3x + С₁xе³x + С5xе-8x O E. none of the above
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