Question: 2. (6 marks) Consider the system c = ry y = -x2. Show that E(x, y) := 2 + y is an integral of motion.

 2. (6 marks) Consider the system c = ry y =

2. (6 marks) Consider the system c = ry y = -x2. Show that E(x, y) := 2 + y is an integral of motion. Find the equilibria and determine their stability. Sketch the phase plane

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