Take the conservative equation " + x² - 9 = 0. Write down the corresponding first order system using the extra variable y: x' = y' = The critical points are on the x-axis at the following two x values (order them as they are on the number line): Compute the Jacobian matrix for all x and y: The behavior at the first critical point is The behavior at the second critical point is For behavior write one of: "saddle", "source", "sink", "spiral sink", "spiral source", "center".

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A: The set of vector  and We have to express the vector  in terms of the given set of vector

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