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Homework 10 Consider x = Ax +g(x), x(0) -x, ER, where . A is a stable matrix. . g(x) / x ->0, as x ->

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Homework 10 Consider x = Ax +g(x), x(0) -x, ER", where . A is a stable matrix. . g(x) / x ->0, as x -> 0. x is sufficiently small. Can you try to prove that the solution x (t) of the nonlinear equation converges to 0, as t -> co

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