Consider the system of equations x' = ( 17 -$1 ) x (a) Use a graphing utility to graph a direction field and a few trajectories. (b) Describe how the solutions behave as t→∞0. As to the solutions Choose one X = Choose one (c) Find the general solution Choose one converge to (0, 0). converge to (9, 0). circle around (0, 0). diverge. ions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 29RE
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Consider the system of equations
(a) Use a graphing utility to graph a direction field and a few
trajectories.
(b) Describe how the solutions behave as t→∞.
As t
(c) Find
x=(7-1)×
X=
Choose one
c₁( i ) e²¹ + 0₂ [( i ) ²² + ( 1 ) e³]
est
test
c₁(i)e+c₂[(i)te* + ( 1 )e²]
a( i)e'+a[( i )te' + ( ¦')eª]
(1) * * + a[( i ) - ( 1 ) ]
-8t
e
-81
te
CI
C1
a₁ ( ² ) ² + z₂[( ² ) ² + ( ¹ ) ₁²]
est
est
est]
s.
Transcribed Image Text:Consider the system of equations (a) Use a graphing utility to graph a direction field and a few trajectories. (b) Describe how the solutions behave as t→∞. As t (c) Find x=(7-1)× X= Choose one c₁( i ) e²¹ + 0₂ [( i ) ²² + ( 1 ) e³] est test c₁(i)e+c₂[(i)te* + ( 1 )e²] a( i)e'+a[( i )te' + ( ¦')eª] (1) * * + a[( i ) - ( 1 ) ] -8t e -81 te CI C1 a₁ ( ² ) ² + z₂[( ² ) ² + ( ¹ ) ₁²] est est est] s.
Consider the system of equations
17
x=(1-1)×
x'
(a) Use a graphing utility to graph a direction field and a few
trajectories.
(b) Describe how the solutions behave as t → ∞o.
As to the solutions Choose one
(c) Find the general solution
X = Choose one ▼
X
Choose one
converge to (0, 0).
converge to (9, 0).
circle around (0, 0).
diverge.
ions.
Transcribed Image Text:Consider the system of equations 17 x=(1-1)× x' (a) Use a graphing utility to graph a direction field and a few trajectories. (b) Describe how the solutions behave as t → ∞o. As to the solutions Choose one (c) Find the general solution X = Choose one ▼ X Choose one converge to (0, 0). converge to (9, 0). circle around (0, 0). diverge. ions.
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