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5. Consider the system i = -y+x(r -3r> + 1), y = xty(r -3r2 + 1), where = 1' + y?. (a) Use the

5. Consider the system i = -y+x(r -3r> + 1), y = xty(r -3r2 + 1), where " = 1' + y?. (a) Use the Poincare-Bendixson Theorem to show that there is a periodic orbot in the annular region Al = {(x, y)|1 +y>

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