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Consider the planar system i = r(1 - r) - y ý = y(1 – r) + x where r = Va? + y?. Rewrite the model in polar coordinates. Show that the orbit y = {(r, 0) : r = 1,0 = 0 +t}, where 0, is a constant, is a solution.

Consider the planar system i = r(1 - r) - y ý = y(1 – r) + x where r = Va? + y?. Rewrite the model in polar coordinates. Show that the orbit y = {(r, 0) : r = 1,0 = 0 +t}, where 0, is a constant, is a solution.

Advanced Engineering Mathematics
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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Consider the planar system i = r(1 - r) - y ý = y(1 – r) +r where r = Vr? + y?. Rewrite the model in polar coordinates. Show that the orbit y = {(r, 0) : r = 1,0 = 00 + t}, where 0, is a constant, is a solution.
Transcribed Image Text:Consider the planar system i = r(1 - r) - y ý = y(1 – r) +r where r = Vr? + y?. Rewrite the model in polar coordinates. Show that the orbit y = {(r, 0) : r = 1,0 = 00 + t}, where 0, is a constant, is a solution.
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