8. Consider the given nonlinear system of differential equations: x' = 60x – 3x – 4xy, = 42y – 3y – 2xy that has a critical point (12, 6). Classify the type of the point (12,6) in its linearized system, and determine its stability.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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8.
Consider the given nonlinear system of differential equations:
x' = 60x – 3x – 4xy,
= 42y – 3y – 2xy
that has a critical point (12, 6). Classify the type of the point (12,6) in its linearized system,
and determine its stability.
Transcribed Image Text:8. Consider the given nonlinear system of differential equations: x' = 60x – 3x – 4xy, = 42y – 3y – 2xy that has a critical point (12, 6). Classify the type of the point (12,6) in its linearized system, and determine its stability.
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