xª – y* f(x, y) = { (x² + y²)² 2² – y3 g(x, y) = { x2 + y? if (x, y) # 0, if (x, y) # 0, if (x, y) = 0, if (x, y) = 0, %3D ry? k(x,y) = { r2 + y6 if (x, y) # 0, if (x, y) + 0, h(x, y) = x² + y? if (x, y) = 0, if (x, y) = 0.

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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Question

Which converge and diverge?

xª – y*
f(x, y) = { (x² + y²)²
2² – y3
g(x, y) = { x2 + y?
if (x, y) # 0,
if (x, y) # 0,
if (x, y) = 0,
if (x, y) = 0,
%3D
ry?
k(x,y) = { r2 + y6
if (x, y) # 0,
if (x, y) + 0,
h(x, y) =
x² + y?
if (x, y) = 0,
if (x, y) = 0.
Transcribed Image Text:xª – y* f(x, y) = { (x² + y²)² 2² – y3 g(x, y) = { x2 + y? if (x, y) # 0, if (x, y) # 0, if (x, y) = 0, if (x, y) = 0, %3D ry? k(x,y) = { r2 + y6 if (x, y) # 0, if (x, y) + 0, h(x, y) = x² + y? if (x, y) = 0, if (x, y) = 0.
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