A linear system x = Ax with state variables x₁(t) and a₂(t) is defined by the equations: *1 = 3x1 9x2 *2 = 9x16x2 Find the eigenvalues of A in the form A = a + bj, where b>0, and enter them in the boxes below to an accuracy of two decimal places. to two decimal places to two decimal places Enter a : Enter b: Determine whether this system is stable, unstable, or neither: Stable O Unstable O None of the above Not answered Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither: O Oscillatory O Monotone O Both O Neither Not answered
A linear system x = Ax with state variables x₁(t) and a₂(t) is defined by the equations: *1 = 3x1 9x2 *2 = 9x16x2 Find the eigenvalues of A in the form A = a + bj, where b>0, and enter them in the boxes below to an accuracy of two decimal places. to two decimal places to two decimal places Enter a : Enter b: Determine whether this system is stable, unstable, or neither: Stable O Unstable O None of the above Not answered Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither: O Oscillatory O Monotone O Both O Neither Not answered
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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Transcribed Image Text:A linear system x = Ax with state variables x₁(t) and x₂(t) is defined by the equations:
*1 = 3x1 9x2
*2 = 9x16x2
Find the eigenvalues of A in the form A = a + bj, where b>0, and enter them in the boxes below to an accuracy of two decimal places.
to two decimal places
to two decimal places
Enter a :
Enter b:
Determine whether this system is stable, unstable, or neither:
Stable
O
Unstable
O None of the above
Not answered
Determine whether the long term behaviour of this system will be oscillatory, monotone, both, or neither:
on
Oscillatory
Monotone
O
O
O Both
O Neither
Not answered
O Search
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