Consider the following autonomous differential equation, dN = -a N – N2 dt where a > 0. It is clear that N = 0 and N this differential equation? = -a are the two distinct equilibria of this differential equation. What can you conclude about the equilibria of ON=0 and N =-a are locally stable. ON=0 is locally stable and N = -a is unstable. ON=0 and N a are unstable. ON- = 0 is unstable and N =-a is locally stable. There is not enough information to answer this question.
Consider the following autonomous differential equation, dN = -a N – N2 dt where a > 0. It is clear that N = 0 and N this differential equation? = -a are the two distinct equilibria of this differential equation. What can you conclude about the equilibria of ON=0 and N =-a are locally stable. ON=0 is locally stable and N = -a is unstable. ON=0 and N a are unstable. ON- = 0 is unstable and N =-a is locally stable. There is not enough information to answer this question.
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Transcribed Image Text:Consider the following autonomous differential equation,
NP
= -aN- N2
dt
where a > 0. It is clear that N = 0 andN= -a are the two distinct equilibria of this differential equation. What can you conclude about the equilibria of
this differential equation?
ON=0 and N =-a are locally stable.
ON=0 is locally stable and N =-a is unstable.
ON=0 and N =-a are unstable.
ON=0 is unstable and N =-a is locally stable.
O There is not enough information to answer this question.
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