Which converge and diverge?

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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Which converge and diverge?

x* – y*
2² – y³
if (x, y) # 0,
y²
b
if (x, y) # 0,
f(x, y) = { (x² + y²)²
b
g(x, y) = { x² +
if (x, y) = 0,
if (x, y) = 0,
a3 – y³
1² + y?
xy?
x² + y6
if (x, y) + 0,
if (x, y) # 0,
h(x,y) =
k(x, y) =
if (x, y) = 0,
if (x, y) = 0.
Transcribed Image Text:x* – y* 2² – y³ if (x, y) # 0, y² b if (x, y) # 0, f(x, y) = { (x² + y²)² b g(x, y) = { x² + if (x, y) = 0, if (x, y) = 0, a3 – y³ 1² + y? xy? x² + y6 if (x, y) + 0, if (x, y) # 0, h(x,y) = k(x, y) = if (x, y) = 0, if (x, y) = 0.
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