Answered: Consider the system of non-linear…

Consider the system of non-linear differential equations: dx/dt = x cos y, dy/dt = y cos x. Which option gives the Jacobian matrix for this system?

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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Question

Consider the system of non-linear differential equations:

dx/dt = x cos y,

dy/dt = y cos x.

Which option gives the Jacobian matrix for this system?

A. [-y sin x cos x]
[cos y -x sin y]

B. [-x sin y cos y]
[cos x -y sin x]

C. [cos x -y sin x]
[-x sin y cos y]

D. [x cos y x cos y]
[y cos x y cos x]

E. [cos y -x sin y]
[-y sin x cos x]

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