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Use the method of undetermined coefficients to solve the initial value problem. y = y = y = y = y = 37 10 59 cos2t-sin2t + 40 37 8 59 40 37 -cos2t + -sin2t + 10 -cos2t 37 10 59 40 59 40 cos2t + cos2t -sin2t + 59 40 37 4 10 -sin2t + 3 -sin2t 4 1 - 8 3 7² + 2 4 - 2 37 y" + 4y = 1² + 8e¹, y(0) = 0, y'(0) = 9 + 8 + ain + 9 + 8 9 8

Use the method of undetermined coefficients to solve the initial value problem. y = y = y = y = y = 37 10 59 cos2t-sin2t + 40 37 8 59 40 37 -cos2t + -sin2t + 10 -cos2t 37 10 59 40 59 40 cos2t + cos2t -sin2t + 59 40 37 4 10 -sin2t + 3 -sin2t 4 1 - 8 3 7² + 2 4 - 2 37 y" + 4y = 1² + 8e¹, y(0) = 0, y'(0) = 9 + 8 + ain + 9 + 8 9 8

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 = y = y = y = y = 37 10 59 cos2t-sin2t + 40 37 8 59 40 37 -cos2t + -sin2t + 10 -cos2t 37 10 59 40 59 40 cos2t + cos2t -sin2t + 59 40 37 4 10 -sin2t + 3 -sin2t 4 1 - 8 3 7² + 2 4 - 2 37 y" + 4y = 1² + 8e¹, y(0) = 0, y'(0) = 9 + 8 + ain + 9 + 8 9 8
Transcribed Image Text:Use the method of undetermined coefficients to solve the initial value problem. y = y = y = y = y = 37 10 59 cos2t-sin2t + 40 37 8 59 40 37 -cos2t + -sin2t + 10 -cos2t 37 10 59 40 59 40 cos2t + cos2t -sin2t + 59 40 37 4 10 -sin2t + 3 -sin2t 4 1 - 8 3 7² + 2 4 - 2 37 y" + 4y = 1² + 8e¹, y(0) = 0, y'(0) = 9 + 8 + ain + 9 + 8 9 8
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