Use the method of undetermined coefficients to determine only the form of a particular solution for the system x' (t) = Ax(t) + f(t), where A and f(t) are given A = 03 50 f(t)= sin 9t Choose the correct answer below. 151, t OA. Xp(t)=(sin 9t)a+ (cos 9t)b + c OB. xp (t)=e √151b+ OC. Xp (t) = (sin t)a + (cost)b + c O D. Xp(t)=ta + b + (sin 9t)c + (cos 9t)d OE. xp(t)=e15¹a+e-√√15¹b+c OF. Xp(t)=ta + b + (sin t)c + (cos t)d a + te C
Use the method of undetermined coefficients to determine only the form of a particular solution for the system x' (t) = Ax(t) + f(t), where A and f(t) are given A = 03 50 f(t)= sin 9t Choose the correct answer below. 151, t OA. Xp(t)=(sin 9t)a+ (cos 9t)b + c OB. xp (t)=e √151b+ OC. Xp (t) = (sin t)a + (cost)b + c O D. Xp(t)=ta + b + (sin 9t)c + (cos 9t)d OE. xp(t)=e15¹a+e-√√15¹b+c OF. Xp(t)=ta + b + (sin t)c + (cos t)d a + te C
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:Use the method of undetermined coefficients to determine only the form of a particular solution for the system x' (t) = Ax(t) + f(t), where A and f(t) are given
03
50
A
f(t) =
sin 9t
Choose the correct answer below.
OA. Xp(t)= (sin 9t)a + (cos 9t)b + c
√15t
√151b+c
OB. xp (t)=e
O c. xp (t) = (sin t)a + (cost)b + c
OD. Xp(t)=ta + b + (sin 9t)c + (cos 9t)d
a + te
OE. xp(t)= e √15¹a+e-√15¹b+c
OF. Xp(t)= ta+b+ (sin t)c + (cos t)d
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