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 ***
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
Section: Chapter Questions
Problem 1RQ
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbba0909-7b4f-4e80-8e24-06dfda2d061e%2Fda3e5619-5325-4221-84be-e16e749c78bd%2Fs59vpc_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbba0909-7b4f-4e80-8e24-06dfda2d061e%2Fda3e5619-5325-4221-84be-e16e749c78bd%2Frkc19hf_processed.jpeg&w=3840&q=75)
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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