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5. Consider the system: dx -=x- y+3x' - 2xy² dt dy -=-x+y+ 3y' - 2x°y dt Show that the system has no periodic solution other than the constant ones. vtion

5. Consider the system: dx -=x- y+3x' - 2xy² dt dy -=-x+y+ 3y' - 2x°y dt Show that the system has no periodic solution other than the constant ones. vtion

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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5. Consider the system: dx - = x- y+ 3x' – 2xy² dt dy -=-x +y+3y' – 2x°y dt Show that the system has no periodic solution other than the constant ones. etion-
Transcribed Image Text:5. Consider the system: dx - = x- y+ 3x' – 2xy² dt dy -=-x +y+3y' – 2x°y dt Show that the system has no periodic solution other than the constant ones. etion-
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