Differential Equations - Autonomous Equations - Stability of Equilibrium Solutions
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YouTubeMatt Charnley's Math Videos
Differential Equations - Autonomous Equations - Stability of Equilibrium Solutions
Video explaining how to determine stability of equilibrium solutions to autonomous equations, both using the phase line and the function f itself.
4.7K viewsSep 14, 2021
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SOLVED:The autonomous differential equations in Problem represent models for population growth. For each problem, use a phase line analysis to sketch solution curves for P(t), selecting different starting values P(0) (as in Example 3). Which equilibria are stable, and which are unstable? d P / d t=P(1-2 P)
SOLVED:The autonomous differential equations in Problem represent models for population growth. For each problem, use a phase line analysis to sketch solution curves for P(t), selecting different starting values P(0) (as in Example 3). Which equilibria are stable, and which are unstable? d P / d t=P(1-2 P)
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SOLVED:The autonomous differential equations in Problem represent models for population growth. For each problem, use a phase line analysis to sketch solution curves for P(t), selecting different starting values P(0) (as in Example 3). Which equilibria are stable, and which are unstable? d P / d t=P(1-2 P)
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