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.]
[Geometry] [Algebra] [Trigonometry ]
[Calculus] [Complex Variables] [Matrix Algebra]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard..

Author: Mohamed Amine Khamsi

Copyright © 1999-2024 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour