x = -x(x² + y² - 2ax - B) - y y = y(x² + y² - 2ax - 3) + x What is the correct polar coordinate form of this system? Sr (r = -r(r² - 2ar cos(0) - B) = α O Sr (r = -r(r² - 2ar sin(0) - B) 0 = = 1 (r = -r(r² - 2ar cos(0) - B) - fr = -r(r² - 2ar sin(0) – B) = α

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the non-linear system:
x =
-x(x² + y² - 2ax - B) - y
y = y(x² + y² - 2ax - B) + x
What is the correct polar coordinate form of this system?
(r = -r (r² - 2ar cos(0) - B)
20
θ = α
(r = -r(r² - 2ar sin(0) - B)
0
= : 1
Ofr = -r(r² - 2ar cos(0) – B)
{* = -
U
(r = -r(r² - 2ar sin(0) - B)
10 =
θ = α
Transcribed Image Text:Consider the non-linear system: x = -x(x² + y² - 2ax - B) - y y = y(x² + y² - 2ax - B) + x What is the correct polar coordinate form of this system? (r = -r (r² - 2ar cos(0) - B) 20 θ = α (r = -r(r² - 2ar sin(0) - B) 0 = : 1 Ofr = -r(r² - 2ar cos(0) – B) {* = - U (r = -r(r² - 2ar sin(0) - B) 10 = θ = α
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