Problems 3537 show that all nontrivial solution curves of the system in Example 11 are ellipses rotated
Question:
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.
Transcribed Image Text:
Example 11 Solve the initial value problem 6 -17 X' x = [$ ²] x x = [] x(0) 8 (46)
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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