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Use the method of undetermined coefficients to solve the initial value problem. 27 41 y = - 40 cos2r+sin2t 10 41 27 y = cos2t sin2t + 10 40 27 41 10 cos21- sin21 + 40 27 41 comt+ 4 8 sin?+ + 3 y" + 4y = f + 4e¹, y(0) = 0, y'(0) = 9 + 22.9

Use the method of undetermined coefficients to solve the initial value problem. 27 41 y = - 40 cos2r+sin2t 10 41 27 y = cos2t sin2t + 10 40 27 41 10 cos21- sin21 + 40 27 41 comt+ 4 8 sin?+ + 3 y" + 4y = f + 4e¹, y(0) = 0, y'(0) = 9 + 22.9

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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Use the method of undetermined coefficients to solve the initial value problem. y" + 4y = f + 4e', yO) = 0, y'(0) = 9 27 41 40 Cos2t +sin2t 8. +* + y = 10 41 y = cos2t 10 27 sin2t + 40 1 4 41 1 sin21 + 40 41 cos2t + 27 y = cos2t - 10 8 4' 27 3 sin2t + 4 2 y = 10 41 41 27 cos2t 40 3 2 :- sin2t +- 8 4 41
Transcribed Image Text:Use the method of undetermined coefficients to solve the initial value problem. y" + 4y = f + 4e', yO) = 0, y'(0) = 9 27 41 40 Cos2t +sin2t 8. +* + y = 10 41 y = cos2t 10 27 sin2t + 40 1 4 41 1 sin21 + 40 41 cos2t + 27 y = cos2t - 10 8 4' 27 3 sin2t + 4 2 y = 10 41 41 27 cos2t 40 3 2 :- sin2t +- 8 4 41
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