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Consider y" – 3y' + 2y = sin a. (a) cients (annihilators). Find the general solution using the method of undetermined coeffi- (b) Find the general solution using variation of parameters. ear cos bædx q2 + 12 (a cos bæ +bsin bæ) + C ea" sin bædr q² + b2 (a sin bæ – b cos bæ) + C

Consider y" – 3y' + 2y = sin a. (a) cients (annihilators). Find the general solution using the method of undetermined coeffi- (b) Find the general solution using variation of parameters. ear cos bædx q2 + 12 (a cos bæ +bsin bæ) + C ea" sin bædr q² + b2 (a sin bæ – b cos bæ) + C

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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2. Consider y" – 3y' + 2y = sin x. (а) cients (annihilators). Find the general solution using the method of undetermined coeffi- (b) Find the general solution using variation of parameters. ea" cos bædx = :(a cos bx + b sin bæ) +C a2 + b2 ear :(a sin bx – b cos bæ) + C ea" sin bædx a2 + b2
Transcribed Image Text:2. Consider y" – 3y' + 2y = sin x. (а) cients (annihilators). Find the general solution using the method of undetermined coeffi- (b) Find the general solution using variation of parameters. ea" cos bædx = :(a cos bx + b sin bæ) +C a2 + b2 ear :(a sin bx – b cos bæ) + C ea" sin bædx a2 + b2
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