 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ia/paper-2/8a/b/i/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

With

y = \overset{x}{˙}

, the system is

\overset{x}{˙} = y, \overset{y}{˙} = - 3 y + 4 lo g \frac{x ^{2} + 1}{2} .

At equilibrium

y = 0

and

x^{2} = 1

(1, 0)

and

(- 1, 0)

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