5. For each linear system given, classify the critical (equilibrium) point (0,0) and use this information to match to the phase portrait. Linear System Classification Phase Portrait (a) dx dy dt -4x+10y -2x+4y = -3x-y dy = -x-3y = x + 4y dt 2x y da dt -2x+y (d) 3% dt -9x+4y (I) (II) (III) (IV)

5. For each linear system given, classify the critical (equilibrium) point (0,0) and use this information to match to the phase portrait. Linear System Classification Phase Portrait (a) dx dy dt -4x+10y -2x+4y = -3x-y dy = -x-3y = x + 4y dt 2x y da dt -2x+y (d) 3% dt -9x+4y (I) (II) (III) (IV)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter10: Systems Of Equations And Inequalities

Section10.CR: Chapter Review

Problem 5CC: What operations can be performed on a linear system to arrive at an equivalent system?

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Question

5. For each linear system given, classify the critical (equilibrium) point (0,0) and use this information to match to the
phase portrait.
Linear System
Classification
Phase Portrait
(a)
dx
dy
dt
-4x+10y
-2x+4y
=
-3x-y
dy
=
-x-3y
=
x + 4y
dt
2x y
da
dt
-2x+y
(d)
3%
dt
-9x+4y
(I)
(II)
(III)
(IV)

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