Consider the following autonomous first-order differentialequation. y' = y² + 2ywhich of the following is true about the asymptotic behavior ofthe equilibrium solutionsa. y=-2 stable, None unstable, y = 0 semistableb. y=0 unstable, y=-2 stable, Nonesemistablec. y=0 stable, None unstable, y=-2 semistabled. y = -2 unstable, y = 0 stable, Nonesemistablee. None stable, y = 0 unstable, y = -2 semistable

Given differential equation y'=y2+2y

Answered: Consider the following autonomous…

Math

Calculus

Consider the following autonomous first-order differential equation. y' = y² + 2y 1194994 ++ + + +

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 11E

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Question

100%

Consider the following autonomous first-order differential
equation. y' = y² + 2y
which of the following is true about the asymptotic behavior of
the equilibrium solutions
a. y=-2 stable, None unstable, y = 0 semistable
b. y=0 unstable, y=-2 stable, Nonesemistable
c. y=0 stable, None unstable, y=-2 semistable
d. y = -2 unstable, y = 0 stable, Nonesemistable
e. None stable, y = 0 unstable, y = -2 semistable

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