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# Show that the linearization of (5) at .3; 1/ is u0 D 3u ISBN: 9780321796981 216

## Solution for problem 17 Chapter 6.3

Differential Equations and Boundary Value Problems: Computing and Modeling | 5th Edition

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Problem 17

Show that the linearization of (5) at .3; 1/ is u0 D 3u 3v, v0 D u C v. Then show that the coefficient matrix of this linear system has complex conjugate eigenvalues 1, 2 D 2 i p2 with positive real part. Hence .3; 1/ is a spiral source for (5).

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Lecture 21: Related Rates (Section 3.11) Related Rates allows us to ﬁnd the rate of change of one quantity in terms of the rate of change of a related quantity. Consider the following example:...

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##### ISBN: 9780321796981

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