Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t)

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Use The Variation Of Parameters Formula To Find A General Solution Of The System X T Ax T F T Where A And F T 1 (25.16 KiB) Viewed 26 times

Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are given. A = - 4 Xh(t) = xp (t) = 2 2 -1 f(t) = 9+2t Let x(t) = x₁(t) + xp (t), where x₁ (t) is the general solution corresponding to the homogeneous system, and xp (t) is a particular solution to the nonhomogeneous system. Find x₁ (t) and xp (t). (Type your answer as a single matrix.)