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Find the correct form of a particular solution for the following ODE's if the method of undetermined coefficients were to be used. Do not find the coefficients! 16. y" + 2y + 5y = te-t sin(2t) + 3t2-t+7-6t sin(3t) + t²e' cos(2t) - 5t²e5t

Find the correct form of a particular solution for the following ODE's if the method of undetermined coefficients were to be used. Do not find the coefficients! 16. y" + 2y + 5y = te-t sin(2t) + 3t2-t+7-6t sin(3t) + t²e' cos(2t) - 5t²e5t

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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Please solve the differential equations question marked with a red circle :
Find the correct form of a particular solution for the following ODE's if the method of undetermined coefficients were to be used. Do not find the coefficients! 16. y" + 2y + 5y = te-t sin(2t) + 3t2-t+7-6t sin(3t) + t2e cos(2t) - 5t²e5t 17. y" + 6y +9y = te' cos(3t) + t³e-3t 18. y" +6y=t³e-6t+1²+t cos(6t) + t²e²
Transcribed Image Text:Find the correct form of a particular solution for the following ODE's if the method of undetermined coefficients were to be used. Do not find the coefficients! 16. y" + 2y + 5y = te-t sin(2t) + 3t2-t+7-6t sin(3t) + t2e cos(2t) - 5t²e5t 17. y" + 6y +9y = te' cos(3t) + t³e-3t 18. y" +6y=t³e-6t+1²+t cos(6t) + t²e²
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