Consider the function f(x, y) = 2x² – 4x – xy² + 2y² – 3. 1. Show that the stationary points of f(x,y) are at (2,-2), (1,0) and (2, 2). 2. Use the eigenvalue test to classify each of the stationary points.
Consider the function f(x, y) = 2x² – 4x – xy² + 2y² – 3. 1. Show that the stationary points of f(x,y) are at (2,-2), (1,0) and (2, 2). 2. Use the eigenvalue test to classify each of the stationary points.
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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Transcribed Image Text:Consider the function
f(x, y) = 2x² – 4x – xy² +2y? – 3.
%3D
1.
Show that the stationary points of f(x,y) are at (2,-2), (1,0) and
(2,2).
2.
Use the eigenvalue test to classify each of the stationary points.
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