Mathematics · Differential Equations
Consider the autonomous differential equation dPdt = kP(1 - P5) where k > 0. Which of the following statements is true regarding its critical points?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The critical point P = 0 is stable
- 2The critical point P = 5 is unstable
- 3The critical point P = 0 is unstable✓
- 4P = 1 is a critical point
Correct answer
The critical point P = 0 is unstable
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