A linear system x = Ax with state variables 1(t) and z2(t) is defined by the equations:%3D= 621 + 82i2 = -9r1 - 8r2Find the eigenvalues of A in the form A = at bj, where b> 0, and enter them in the boxes below to anaccuracy of two decimal places.Enter a :to two decimal placesEnter b:to two decimal placesDetermine whether this system is stable, unstable, or neither:StableUnstableNone of the aboveONot answeredDetermine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither:OscillatoryMonotoneBothNeitherONot answered

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A linear system x Ax with state variables r1(t) and z2(t) is defined by the equations: à = 621 + 8r2 %3D i2 = -9r1- 8r2 %3D Find the eigenvalues of A in the form A = a ± bj, where b > 0, and enter them in the boxes below to an %3D accuracy of two decimal places.

A linear system x Ax with state variables r1(t) and z2(t) is defined by the equations: à = 621 + 8r2 %3D i2 = -9r1- 8r2 %3D Find the eigenvalues of A in the form A = a ± bj, where b > 0, and enter them in the boxes below to an %3D accuracy of two decimal places.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A linear system x = Ax with state variables 1(t) and z2(t) is defined by the equations:
%3D
= 621 + 82
i2 = -9r1 - 8r2
Find the eigenvalues of A in the form A = at bj, 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
ONot answered
Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither:
Oscillatory
Monotone
Both
Neither
ONot answered

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