Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) + f(t), where A and f(t) are given. -[:] 91 A = f(t)= -4t-1 -36t-5 What is the undetermined coefficients form for the associated homogeneous system? A. xp (t)=ta+b ***

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Chapter2: Second-order Linear Odes
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Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) + f(t), where A and f(t) are given.
1 1
*-:¦-~-[-
[1]
A =
f(t) =
91
-4t-1
- 36t-5
What is the undetermined coefficients form for the associated homogeneous system?
A. xp (t)= ta+b
OB. xp (t) = (sin t)a + (cost)b
OC. xp (t) = t³a+t²b+tc+d
OD. x₂(t) = 1²a+tb+c
x(t) =
(Do not use d, D, e, E, i, or I as abitrary constants since these letters already have defined meanings.)
actor
Transcribed Image Text:Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) + f(t), where A and f(t) are given. 1 1 *-:¦-~-[- [1] A = f(t) = 91 -4t-1 - 36t-5 What is the undetermined coefficients form for the associated homogeneous system? A. xp (t)= ta+b OB. xp (t) = (sin t)a + (cost)b OC. xp (t) = t³a+t²b+tc+d OD. x₂(t) = 1²a+tb+c x(t) = (Do not use d, D, e, E, i, or I as abitrary constants since these letters already have defined meanings.) actor
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