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System of Differential Equations: Write an example of a homogeneous linear system and an example of an inhomogeneous linear system. Justify your answer.   Please be as clear as possible. Thank you

System of Differential Equations: Write an example of a homogeneous linear system and an example of an inhomogeneous linear system. Justify your answer.   Please be as clear as possible. Thank you

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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System of Differential Equations:

Write an example of a homogeneous linear system and an example of an inhomogeneous linear system. Justify your answer.
 
Please be as clear as possible. Thank you
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