Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › JNU › JNU SSS 2014 › Q52
2 marks, −0.5Mathematics › Difference and differential equations › Stability and phase diagramsModerateabout 2 min

JNU SSS 2014 Question 52: Difference and differential equations

The behaviour of a variable xxx over time is described by dx/dt=x2−xdx/dt = x^2 - xdx/dt=x2−x (where ttt is the variable denoting time).

Suppose at the initial point in time xxx has a negative value. What happens to the value of xxx over time?

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

The behaviour of a variable x over time is described by dx/dt = x² - x (where t is the variable denoting time). Suppose at the initial point in time x has a negative value. What happens to the value of x over time? (A) Decreases without any bound (B) Increases and approaches 0 over time (C) Increases and approaches 1 over time (D) Increases without any bound

Also written as: The behaviour of a variable x over time is described by dx/dt = x^2 - x (where t is the variable denoting time). Suppose at the initial point in time x has a negative value. What happens to the value of x over time?

Difference and differential equations has come up 20 times in 5 exams since 2014.

What this question tests

This question is on Stability and phase diagrams, part of Difference and differential equations in Mathematics.

Whether solutions settle to an equilibrium and how to read the phase line.

TestStop has 8 past-paper questions on this subtopic.

Practise Difference and differential equationsMore on Stability and phase diagrams

Similar questions from other papers

  • UGC-NET 2025 · Q62Given the difference equation Yₜ₊₁ - 1.2Yₜ = 0, the general expression for Yₜ in terms of t can be:
  • IIT JAM 2024 · Q14The solution of the differential equation xy dx - (x² + y²) dy = 0, y(0) = 1 is
  • CUET-PG 2023 Shift 1 · Q50Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R): Assertion (A): For a differential equation ẋ + ax = b for a ≠…
  • CUET-PG 2023 Shift 2 · Q65Find the general solution of the differential equation: dx/x + dy/y = 0
  • IIT JAM 2023 · Q16Let y=y(x) solve xdy/dx=yln (y/x), y>x>0. If y(1)=e² and y(2)=α, then dy/dx at (2,α) equals

Question from the JNU SSS 2014 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.