AI Tutor
Back to Autonomous equations

Exercise 101

Avg difficulty 2.5

Let x′=(x−1)(x−2)x2x'=(x-1)(x-2)x^2.

  1. Sketch the phase diagram and find critical points.
  2. Classify the critical points.
  3. If x(0)=0.5x(0)=0.5, then find lim⁡t→∞x(t)\displaystyle \lim_{t\to\infty} x(t).

Lebl, Notes on Diffy Qs, §1.6 Autonomous equations, exercise 101

AI Tutor

Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.