Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.) y'" + 4y = 12t° sin 2t The root(s) of the auxiliary equation associated with the given differential equation is/are. (Use a comma to separate answers as needed.) Write the form of a particular solution. Choose the correct answer below. OA. Y,)=t(A, +A,+Agt+ As)• cos 2t + t| B,t° + B,t +B,t+B,) sin 2t OB. Y,()=1(Agt+A, +A,t+Ao e*cos21 + t( B;t° + B,P - B,t+ Bo) e' sin 2t OC. Y,(0= (A," + A,t +A,P +Agi) e' cos 2t + (B,1 - B,f « B,ť + Bo) e's sin 2t cos 21 + sin 2t
Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.) y'" + 4y = 12t° sin 2t The root(s) of the auxiliary equation associated with the given differential equation is/are. (Use a comma to separate answers as needed.) Write the form of a particular solution. Choose the correct answer below. OA. Y,)=t(A, +A,+Agt+ As)• cos 2t + t| B,t° + B,t +B,t+B,) sin 2t OB. Y,()=1(Agt+A, +A,t+Ao e*cos21 + t( B;t° + B,P - B,t+ Bo) e' sin 2t OC. Y,(0= (A," + A,t +A,P +Agi) e' cos 2t + (B,1 - B,f « B,ť + Bo) e's sin 2t cos 21 + sin 2t
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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Transcribed Image Text:Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.)
y" + 4y = 12t° sin 2t
The root(s) of the auxiliary equation associated with the given differential equation is/are.
(Use a comma to separate answers as needed.)
Write the form of a particular solution. Choose the correct answer below.
O A. Yp(1)-t(Agt + A, + A,t+ A cos 2t + t (B,t° + Byt + B,t+B,) sin 2t
OB. Y,()=tA,t+A,² +A,t+Ao) e'cos 21 + t|
t(B,t-B,+B, t+ Bo) e' sin 2t
OC. Y,()= (A,t + A,t° +A,P +Agt) e'cos 2t + (B,1 , B,+ B,² + B,) e' sin 2t
OD. Yp(0= (A,° + A, +A,t+As)
(B, +B,P + B,1+ Bo) sin 21
cos 21 +
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