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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