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Give an example of a second-order, constant-coefficient, homogeneous equation with non-real roots of the characteristic equation. Write down the linear system that corresponds to

Give an example of a second-order, constant-coefficient, homogeneous equation with non-real roots of the characteristic equation. Write down the linear system that corresponds to

Advanced Engineering Mathematics
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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I'm looking specifically for help connecting the first part of this question with the second part; I can turn a second-order homogenous equation with non real roots into a system of first order equations, but I need help describing a system of two tanks with that system of equations

Give an example of a second-order, constant-coefficient, homogeneous equation with non-real roots of the characteristic equation. Write down the linear system that corresponds to it. Can you find an example of an interconnected system of two tanks that is described by this system? Explain. Then solve the system.
Transcribed Image Text:Give an example of a second-order, constant-coefficient, homogeneous equation with non-real roots of the characteristic equation. Write down the linear system that corresponds to it. Can you find an example of an interconnected system of two tanks that is described by this system? Explain. Then solve the system.
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