For a dynamical system governed by the equation \frac{dx}{dt}=2\sqrt{1- {x}^{2}}, with \left| x \right|\leq 1

Oscillations — CSIR Net PYQ (Question 2)

A Oscillations previous-year question (PYQ) from Classical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 2 of 23 · 5.0 marks

For a dynamical system governed by the equation

\frac{d x}{d t} = 2 1 - x^{2}

, with

∣ x ∣ \leq 1

1 $x = - 1$ and $x = 1$ are both unstable fixed points
2 $x = - 1$ and $x = 1$ are both stable fixed points
3 $x = - 1$ is an unstable fixed point and $x = 1$ is a stable fixed points
4 $x = - 1$ is a stable fixed point and $x = 1$ is a unstable fixed points

Correct answer: Option 3

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This Oscillations PYQ is part of the Classical Mechanics section of CSIR Net. Browse more Oscillations questions or join the PhysicsByAaryan live batch for full conceptual coverage.