In Problems 15-18 , find all critical points for the given system. Then use a software package to sketch the direction field in the phase plane and from this describe the stability of the critical points (i.e., compare with Figure 5.12 ). d x d t = x ( 7 − x − 2 y ) , d y d t = y ( 5 − x − y )
In Problems 15-18 , find all critical points for the given system. Then use a software package to sketch the direction field in the phase plane and from this describe the stability of the critical points (i.e., compare with Figure 5.12 ). d x d t = x ( 7 − x − 2 y ) , d y d t = y ( 5 − x − y )
Solution Summary: The author explains the critical points for the given system and sketch the direction field in the phase plane.
In Problems 15-18, find all critical points for the given system. Then use a software package to sketch the direction field in the phase plane and from this describe the stability of the critical points (i.e., compare with Figure 5.12).
d
x
d
t
=
x
(
7
−
x
−
2
y
)
,
d
y
d
t
=
y
(
5
−
x
−
y
)
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