Use the method of undetermined coefficients to determine only the form of a particular solution for the system x'(t)= Ax(1) + f(t), where A and f(t) are given A= -1 0 -2 -2 f(t) = 1² t+2 Choose the correct answer below. OA. xp(t)=1²a+ (t+2)b OB. x₂(t)=ta + b OC. xp (t) = (t + 2)a + b OD. xp(t)=1²a+tb+c

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 11AEXP
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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
A =
1 0
-2 -2
f(t)=
+²
t+2
Choose the correct answer below.
OA. xp (t) = 1²a+ (t+2)b
OB. x₂(t)=ta + b
OC. xp (t) = (t + 2)a + b
OD. xp (t) = 1²a+tb + c
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 A = 1 0 -2 -2 f(t)= +² t+2 Choose the correct answer below. OA. xp (t) = 1²a+ (t+2)b OB. x₂(t)=ta + b OC. xp (t) = (t + 2)a + b OD. xp (t) = 1²a+tb + c
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