Find the equilibrium solutions, and classify each as stable, unstable, or semi-stable. y' = y(3+ y)(5-y) O A. y=3 is unstable and y = 5 is stable B. y= -5 is stable, y = -3 is semi-stable, and y = 0 is stable O C. y= -3 is stable, y = 0 is unstable, and y = 5 is stable O D. y= - 5 is stable, y = 0 is unstable, and y = 3 is stable

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the equilibrium solutions, and classify each as stable, unstable, or semi-stable.
y' = y(3+ y)(5-y)
O A. y=3 is unstable and y = 5 is stable
B. y= -5 is stable, y = - 3 is semi-stable, and y = 0 is stable
O C. y= -3 is stable, y = 0 is unstable, and y = 5 is stable
O D. y= -5 is stable, y = 0 is unstable, and y 3 is stable
Transcribed Image Text:Find the equilibrium solutions, and classify each as stable, unstable, or semi-stable. y' = y(3+ y)(5-y) O A. y=3 is unstable and y = 5 is stable B. y= -5 is stable, y = - 3 is semi-stable, and y = 0 is stable O C. y= -3 is stable, y = 0 is unstable, and y = 5 is stable O D. y= -5 is stable, y = 0 is unstable, and y 3 is stable
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