Problems 3537 show that all nontrivial solution curves of the system in Example 11 are ellipses rotated

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Problems 35–37 show that all nontrivial solution curves of the system in Example 11 are ellipses rotated by the same angle as the trajectory in Fig. 7.4.11.

The system in Example 11 can be rewritten in scalar form as

leading to the first-order differential equation

or, in differential form,

Verify that this equation is exact with general solution

where k is a constant.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 30, 2023 06:41 AM

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Problems 3537 show that all nontrivial solution curves of the system in Example 11 are ellipses rotated

Question:

Example 11 Solve the initial value problem 6 -17 X' x = [$ ²] x x = [] x(0) 8 (46)

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Differential Equations And Linear Algebra

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