Phase line diagrams and direction fields

lawilson8510

New member
Joined
Apr 15, 2010
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3
how do i sketch a phase line diagram and how do i use the phase line diagram to determine if the individual equilibrium solutions are stable or unstable.

I am trying to use maple 12 but don't know how

examples are:

a) dx/dt= x^2-4

b) dx/dt=(-1-x)(x+3)

c) dx/dt= x(x-1)(x+2)


Also if i am given a graph of direction fields, how do i determine the equilibrium solutions and then how do i determine if they are stable or unstable.

Do i see if the arrows are going away from the eigenvectors??? please help me..
 
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