7. Determine the nature and stability properties of the critical (0,0) for the following linear autonomous system: dr dt -4x – 3y, dy dt = x – 2y.
7. Determine the nature and stability properties of the critical (0,0) for the following linear autonomous system: dr dt -4x – 3y, dy dt = x – 2y.
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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Do question number 7
Transcribed Image Text:6. Find the general solution of the following system of first-order equations:
= x + 3y,
= 3x + y.
7. Determine the nature and stability properties of the critical (0,0) for the following linear
autonomous system:
= -4.x – 3y, I
= x – 2y.
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