Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 2, x₂ (0) = 3, and x3 (0) = 7. x' = -27-28 2 25 26 2x; x₁=e=2t 3 -25-25 6 -5 5 The particular solution is x₁ (t) = , x₂ (t) = [ x₂ = e3t| and x3 (t) = 1 X3 0

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A: Solution by using eigenvalues and eigenvectors as follows :

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