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 -[88]" 60 A = ,f(t)= sin 5t 5x] Choose the correct answer below. O A. xp (t)=(sin 5t)a + (cos 5t)b + c OB. Xp(t) = 3√21 a+te O c. xp (t)=ta+b+ (sin 5t)c + (cos 5t)d OD. X(t)=ta+b+ (sin t)c + (cost)d O E. X(t)=(sin t)a + (cost)b + c OF. xp(t)=e -3√√21 3√√2t a+ 3√√2t, b+c ***

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3-4 9.7 Need help thank you two part question
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.
sin 5t
[eine]
A=
03
60
. f(t) =
Choose the correct answer below.
O A. Xp (t) = (sin 5t)a + (cos 5t)b + c
3√√2t
3√√2t,
OB. xp(t)=e a + te
b+c
O c. xp (t)=ta+b+ (sin 5t)c + (cos 5t)d
OD. Xp(t)=ta+b+ (sin t)c + (cost)d
O E. X(t)= (sin t)a + (cos t)b + c
3√√2t
a+e -3√21.
¹b+c
OF. xp(t)=e
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. sin 5t [eine] A= 03 60 . f(t) = Choose the correct answer below. O A. Xp (t) = (sin 5t)a + (cos 5t)b + c 3√√2t 3√√2t, OB. xp(t)=e a + te b+c O c. xp (t)=ta+b+ (sin 5t)c + (cos 5t)d OD. Xp(t)=ta+b+ (sin t)c + (cost)d O E. X(t)= (sin t)a + (cos t)b + c 3√√2t a+e -3√21. ¹b+c OF. xp(t)=e
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.
-1 0
-~-[¯;;]~-~-[:]
f(t)=
77
A =
Choose the correct answer below.
OA. xp (t)=t²a+ (t+5)b
OB. xp (t)= (t + 5)a + b
O C.
t+5
xp (t) = t²a+tb+c
OD. x₂(t)=ta+b
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. -1 0 -~-[¯;;]~-~-[:] f(t)= 77 A = Choose the correct answer below. OA. xp (t)=t²a+ (t+5)b OB. xp (t)= (t + 5)a + b O C. t+5 xp (t) = t²a+tb+c OD. x₂(t)=ta+b
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