Consider the following system of equations. dx dt =y dy dt (a) Find the equilibrium points of the system. smallest x-value (x, y) = x²-y largest x-value (x, y) = 3 (b) Using technology, as directed by your instructor, sketch the direction field and phase portrait of the system. (c) Briefly describe the behavior of typical solutions, As t increases, typical solutions spiral in the Select direction Select one of the outside two solutions depending on the i

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A: Therefore, the correct option is (B).