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Q10 18 Points Find the particular solution to the following nonhomogeneous linear system using variation of parameters. dx = Ax +f(t), where f(t) = (2e

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Q10 18 Points Find the particular solution to the following nonhomogeneous linear system using variation of parameters. dx = Ax +f(t), where f(t) = (2e t dt 4e-t and est x1(t) = 2 e3t and X2 (t) = 2e -t are the fundamental solutions of dx = Ax. dt a) Find o(t), the fundamental matrix associated with A. b) Find & (t), use your result from part (a) c) Find the particular solution of dx dt = Ax +f(t). You must simplify your answer by completing the matrix multiplications and show all of your work to receive full credit. Upload vour file here

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