Consider the system بع. = -x+ У log√x² + y² X = -y log√√x² + y² (a) Describe the behaviour of solutions to the linearised system at the origin. (b) Convert the equations to polar co-ordinates, and plot the phase diagram (in x and y) for the full system for x² + y² < 1.

Consider the system بع. = -x+ У log√x² + y² X = -y log√√x² + y² (a) Describe the behaviour of solutions to the linearised system at the origin. (b) Convert the equations to polar co-ordinates, and plot the phase diagram (in x and y) for the full system for x² + y² < 1.

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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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
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