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Find a particular solution of the indicated linear system that satisfies the initial conditions x 0 3 x 0 5 and x3 0 7 4

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Find a particular solution of the indicated linear system that satisfies the initial conditions x 0 3 x 0 5 and x3 0 7 4 H 3 21 24 0 X 18 21 0 X X 18 18 3 3t 3 X 3t 1 1 X31 1 The particular solution is x t x t and x3 t 3t 1 0 I thought I knew what to do and got a totally wrong answer

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