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 te 403] ,f(t)= 1 8 -4e-t A = Choose the correct answer below. OA. xp (t)=e¹a+te ¯¹b+c OB. xp(t)=e¹a+te-¹b O C. Xp (t)=e¹a+tb+c OD. xp(t)=e¹a+te ¯¹b+tc+d

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
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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 =
3 -1
1 8
,f(t)=
te
-4e-t
Choose the correct answer below.
OA. xp (t)=e¹a+te ¯¹b+c
B. xp(t)=e¹a+te-¹b
O C. Xp (t)=e¹a+tb+c
OD. xp(t)=e¹a+te ¯¹b+tc+d
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 = 3 -1 1 8 ,f(t)= te -4e-t Choose the correct answer below. OA. xp (t)=e¹a+te ¯¹b+c B. xp(t)=e¹a+te-¹b O C. Xp (t)=e¹a+tb+c OD. xp(t)=e¹a+te ¯¹b+tc+d
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