(a) Find the general solution of the given system of equations. x = ( 8³ )x x' 3 -4 5 -5

Elementary Linear Algebra (MindTap Course List)
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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All solutions will converge to the origin.
There is not enough information to determine if
solutions converge or diverge.
Divergent solutions have trajectories defined
by (cos(2t), sin(2t))".
Divergent solutions have trajectories defined
by (sin(2t), cos(2t))¹.
The line along (-2, 1) consists of equilibrium points.
All solutions will diverge to infinity
Transcribed Image Text:Choose one All solutions will converge to the origin. There is not enough information to determine if solutions converge or diverge. Divergent solutions have trajectories defined by (cos(2t), sin(2t))". Divergent solutions have trajectories defined by (sin(2t), cos(2t))¹. The line along (-2, 1) consists of equilibrium points. All solutions will diverge to infinity
(a) Find the general solution of the given system of equations.
x = ( 8 )*
x'
3-4
5 -5
x(t) = C₁
+0₂
(3)
?
(b) Drag the point to select the correct direction field.
Choose one
(c) Which best describes the behavior of the general solution?
Choose one
Transcribed Image Text:(a) Find the general solution of the given system of equations. x = ( 8 )* x' 3-4 5 -5 x(t) = C₁ +0₂ (3) ? (b) Drag the point to select the correct direction field. Choose one (c) Which best describes the behavior of the general solution? Choose one
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