Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.) y" + 64y = 9t³ sin 8t 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. ○ A. Yp(t)=t[A3t³ +A₂t² +A₁t+ A₁) e² cos 8t+t (B3t³ + B₂t² + B₁t+Bo) e' sin &t B. Yp(t) = (A₁t¹ + A₂t³ +A₁t² + Aot) e' cos &t+ (B3t² + B₂t³ + B₁t² + Bo) e' sin 8t ○ C. Yp(t)=t[A3t³ +A₂t² +A₁t+A₁) cos &t+t(B3t³ + B₂t² + B₁t+Bo) sin 8t ○ D. Yp(t)= (A3t³ +A₂t² +A₁t+A₁) cos 8t+ (B3t³ + B₂t² + B₁t+Bo) sin 8t
Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.) y" + 64y = 9t³ sin 8t 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. ○ A. Yp(t)=t[A3t³ +A₂t² +A₁t+ A₁) e² cos 8t+t (B3t³ + B₂t² + B₁t+Bo) e' sin &t B. Yp(t) = (A₁t¹ + A₂t³ +A₁t² + Aot) e' cos &t+ (B3t² + B₂t³ + B₁t² + Bo) e' sin 8t ○ C. Yp(t)=t[A3t³ +A₂t² +A₁t+A₁) cos &t+t(B3t³ + B₂t² + B₁t+Bo) sin 8t ○ D. Yp(t)= (A3t³ +A₂t² +A₁t+A₁) cos 8t+ (B3t³ + B₂t² + B₁t+Bo) sin 8t
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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.)
3
y" + 64y = 9t³ sin 8t
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. Yp(t)=t(A3t³ + A₂t² + A₁t+ A₁) e¹ cos 8t + t
¹
cos
8t+t(B3t³ + B₂t² + B₁t+Bo) e' sin 8t
O B. Yp(t) = (A3t¹ + A₂t³ +A₁t² + A₁t) e' cos 8t + (B3tª + B₂t³ + B₁t² + Bo) e' sin 8t
OC. Yp(t)=t[(A3t³ +A₂t² +A₁t+A₁) cos &t+t(B3t³ + B₂t² + B₁t+ B₁) sin 8t
OD. Yp(t) = (A3t³ + A₂t² +A₁t+A₁) cos &t+ (B3t³ + B₂t² + B₁t+Bo) sin 8t
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