What are critical points of autonomous differential equations and how do they relate to equilibrium solutions? Why are they important when using qualitative methods such as the phase line to gain information about the behavior of solutions to an autonomous differential equation?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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What are critical points of autonomous differential equations and how do they relate to equilibrium solutions? Why are they important when using qualitative methods such as the phase line to gain information about the behavior of solutions to an autonomous differential equation?

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Step 1: Determine the critical points of autonomous differential equation.

To Find:

the critical points of an autonomous differential equation.

the relation between critical points of an autonomous differential equation to equilibrium solutions.

why critical points of an autonomous differential equation are important when using qualitative methods.


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