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Problem 8. (8 POINTS) CONSIDER THE FIRST ORDER SYSTEM: x = 6x + 4y - ry, y = 3x-y. IF YOU LINEARIZE THE NONLINEAR SYSTEM,

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Problem 8. (8 POINTS) CONSIDER THE FIRST ORDER SYSTEM: x = 6x + 4y - ry, y = 3x-y. IF YOU LINEARIZE THE NONLINEAR SYSTEM, WHICH STATEMENT IS CORRECT? A. THE SYSTEM HAS FIVE CRITICAL POINTS B. (0, 0) IS A UNSTABLE SPIRAL POINT C. THE SYSTEM HAS TWO ASYMPTOTICALLY STABLE NODES D. (0, 2) IS A STABLE CRITICAL POINT

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