Introduction: Example1

Example: Consider the first order system

displaymath44.

Is

displaymath46

a solution of the system? Explain !

Answer: Clearly, we need to compute x' and y'. We have

displaymath52.

Plug x' and y' into the system and check that they indeed satisfy both equations. Therefore, (x(t),y(t) is a solution.

Next Example:

[Differential Equations] [Firs Order D.E.]
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Author: Mohamed Amine Khamsi

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