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Find the general solution to + 18y" + 81y = 162 + cos6t O y = c1cos18t + c2sin18t + t(c3 cos18t + c4sin18t) + 2 + cos3t 729 O y = c1cos3t + c2sin3t + t² (c3cos3t + c4sin3t) + 2 +sin6t 729 O y = c1cos3t + c2sin3t + t(c3cos18t + c4sin18t) + 2 + 729sin6t O y = c1cos3t + c2 sin3t + t(c3cos3t + c4sin3t) + 2+ cos6t 729 O y = c1cos18t + c2 sin18t + t(c3 cos18t + c4sin18t) + 2 + cos6t 729

Find the general solution to + 18y" + 81y = 162 + cos6t O y = c1cos18t + c2sin18t + t(c3 cos18t + c4sin18t) + 2 + cos3t 729 O y = c1cos3t + c2sin3t + t² (c3cos3t + c4sin3t) + 2 +sin6t 729 O y = c1cos3t + c2sin3t + t(c3cos18t + c4sin18t) + 2 + 729sin6t O y = c1cos3t + c2 sin3t + t(c3cos3t + c4sin3t) + 2+ cos6t 729 O y = c1cos18t + c2 sin18t + t(c3 cos18t + c4sin18t) + 2 + cos6t 729

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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Find the general solution to + 18y" + 81y = 162 + cos6t O y = c1 cos18t + c2 sin18t + t(c3 cos18t + c4sin181) + 2 + cos3t 729 O y = c1cos3t + c2sin3t + ² (c3 cos3t + c4sin3t) + 2 + -sin6t 729 O y = c1cos3t + c2sin3t + t(c3cos18t + c4sin18t) + 2 + 729sin6t O y = c1cos3t + c2sin3t + t(c3cos3t + c4sin3t) + 2 + cos6t 729 O y = c1cos18t + c2sin18t + t(c3 cos18t + c4sin181) + 2 + cos6t 729
Transcribed Image Text:Find the general solution to + 18y" + 81y = 162 + cos6t O y = c1 cos18t + c2 sin18t + t(c3 cos18t + c4sin181) + 2 + cos3t 729 O y = c1cos3t + c2sin3t + ² (c3 cos3t + c4sin3t) + 2 + -sin6t 729 O y = c1cos3t + c2sin3t + t(c3cos18t + c4sin18t) + 2 + 729sin6t O y = c1cos3t + c2sin3t + t(c3cos3t + c4sin3t) + 2 + cos6t 729 O y = c1cos18t + c2sin18t + t(c3 cos18t + c4sin181) + 2 + cos6t 729
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