Long-Term Behavior of Solutions: Suppose that r1 and r2 are the characteristic roots for ay + by'

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Long-Term Behavior of Solutions: Suppose that r1 and r2 are the characteristic roots for ay" + by' + cy = 0, so the solution is y(t) = c1er1t. For Problems 1-2, discuss the long-term solution behaviors for the given r1. r2 combinations. Assume ( ( 0?
1. r1 < 0 , r2 < 0
2. r1 < 0, r2 = 0
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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