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9. Consider the differential equation y" - 2y + 8y = -24 cos(2t) - 22e-t. This equation has a particular solution of the form yp A cos(2t) + B sin(2t) + Ce-¹. What are the values of A, B, and C? (a) A = -3, B = 3, C = -2 √ (b) A = 1, B = 3, C = -2 (c) A = 1, B = -1, C = 2 (d) A = -2, B = 2, C = -3 (e) A = 1, B2, C = 3

9. Consider the differential equation y" - 2y + 8y = -24 cos(2t) - 22e-t. This equation has a particular solution of the form yp A cos(2t) + B sin(2t) + Ce-¹. What are the values of A, B, and C? (a) A = -3, B = 3, C = -2 √ (b) A = 1, B = 3, C = -2 (c) A = 1, B = -1, C = 2 (d) A = -2, B = 2, C = -3 (e) A = 1, B2, C = 3

Advanced Engineering Mathematics
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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9. Consider the differential equation y" - 2y + 8y = -24 cos(2t)-22e-t. This equation has a particular solution of the form A cos(2t) + B sin(2t) + Ce-t. What are the values of A, B, and C? (a) A = -3, B = 3, C = -2 √ (b) A = 1, B = 3, C = -2 (c) A = 1, B = -1, C = 2 (d) A = -2, B = 2, C = -3 (e) A = 1, B2, C = 3
Transcribed Image Text:9. Consider the differential equation y" - 2y + 8y = -24 cos(2t)-22e-t. This equation has a particular solution of the form A cos(2t) + B sin(2t) + Ce-t. What are the values of A, B, and C? (a) A = -3, B = 3, C = -2 √ (b) A = 1, B = 3, C = -2 (c) A = 1, B = -1, C = 2 (d) A = -2, B = 2, C = -3 (e) A = 1, B2, C = 3
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