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1. (0, 0) is the only critical point for the system dx = 5x + 3y -x3 - 2xy dy dt = -3x + 5y

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1. (0, 0) is the only critical point for the system dx = 5x + 3y -x3 - 2xy dy dt = -3x + 5y - 6x2y - y3' (a) (4 points) Classify the critical point by computing the eigenvalues. (b) (8 points) Find a trapping region. (Hint: Look for a large disc.)

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