(b) After realizing the system did not produce the desired output, he decidedf its components and proposed to himselftheto study the effect of one ofollowing change10x +8ywhere ε is a real number. He wants to check if a perturbation in one ofthe parameters will produce the desired output. He asked for help for theMath 2240 students. For which value of ε the system would produce anoscillatory behavior with frequency 100 Hz? (Hint: This is the conditionon the imaginary part of the complex eigenvalues of the coefficient matrix.)

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Asked May 13, 2019
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(b) After realizing the system did not produce the desired output, he decided
f its components and proposed to himselfthe
to study the effect of one o
following change
10x +8y
where ε is a real number. He wants to check if a perturbation in one of
the parameters will produce the desired output. He asked for help for the
Math 2240 students. For which value of ε the system would produce an
oscillatory behavior with frequency 100 Hz? (Hint: This is the condition
on the imaginary part of the complex eigenvalues of the coefficient matrix.)
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(b) After realizing the system did not produce the desired output, he decided f its components and proposed to himselfthe to study the effect of one o following change 10x +8y where ε is a real number. He wants to check if a perturbation in one of the parameters will produce the desired output. He asked for help for the Math 2240 students. For which value of ε the system would produce an oscillatory behavior with frequency 100 Hz? (Hint: This is the condition on the imaginary part of the complex eigenvalues of the coefficient matrix.)

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Expert Answer

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Step 1

Let the differential equations be

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Step 2

The system can be formed as

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Step 3

Find the eigenvalues of the matrix A...

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