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Identify Equilibrium Values and Determine Which Are Stable and Which dydx=(y+5)(y+4)\frac { \mathrm { dy } } { \mathrm { dx } } = ( \mathrm { y } + 5 ) ( \mathrm { y } + 4 )

Question 27

Multiple Choice

Identify equilibrium values and determine which are stable and which are unstable.
- dydx=(y+5) (y+4) \frac { \mathrm { dy } } { \mathrm { dx } } = ( \mathrm { y } + 5 ) ( \mathrm { y } + 4 )


A) y = 4 is a stable equilibrium value and y = -5 is an unstable equilibrium.
B) y = -5 is a stable equilibrium value and y = 4 is an unstable equilibrium.
C) y = -4 is a stable equilibrium value and y = 5 is an unstable equilibrium.
D) y = 5 is a stable equilibrium value and y = 4 is an unstable equilibrium.

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