Question 1. A linear system = Ax with state variables 1 (t) and z2(t) is defined by the equations: %3D *1 = -8x1 -9x2 %3D b2 = 5x1 – 6x2 %3D Find the eigenvalues of A in the form )= a t bj, where b> 0, and enter them in the boxes below to an %3D accuracy of two decimal places. Enter a : to two decimal places Enter b: to two decimal places Determine whether this system is stable, unstable, or neither: Stable Unstable None of the above ONot answered Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neithen Oscillatory Monotone Both Neither ONot answered

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 1.
A linear system x = Ax with state variables 1(t) and z2(t) is defined by the equations:
à1 = -8x1-9x2
2 = 5x1-6x2
Find the eigenvalues of A in the form ) = at bi, where b>0, and enter them in the boxes below to an
accuracy of two decimal places.
Enter a :
to two decimal places
Enter b:
to two decimal places
Determine whether this system is stable, unstable, or neither:
Stable
Unstable
None of the above
Not answered
Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither:
Oscillatory
Monotone
Both
Neither
ONot answered
[6 m
Transcribed Image Text:Question 1. A linear system x = Ax with state variables 1(t) and z2(t) is defined by the equations: à1 = -8x1-9x2 2 = 5x1-6x2 Find the eigenvalues of A in the form ) = at bi, where b>0, and enter them in the boxes below to an accuracy of two decimal places. Enter a : to two decimal places Enter b: to two decimal places Determine whether this system is stable, unstable, or neither: Stable Unstable None of the above Not answered Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither: Oscillatory Monotone Both Neither ONot answered [6 m
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