Question: (10 marks) Prove that the system 15' y' a: - y - 36(x2 +y2), 3: + y W? +592), has at least one limit cycle

(10 marks) Prove that the system 15' y' a: - y - 36(x2 +y2), 3: + y W\"? +592), has at least one limit cycle in the phase plane. (Hint: Transform to polar coordinates and use the PoincarBendixson Theorem.)

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