Determine all critical points of the system of equations = 4-xy, = x - 4y³. dy dt Number of critical points: Two dx dt P = (?, ?) P = (?, ?) Find the corresponding linear system, J, near each critical point, if possible. J(?, ?) DNE = J(?, ?) (??) Find the eigenvalues of each linear system. NOTE: Enter the exact answers. J(?, ?) has Choose one eigenvalues. DNE J(?, ?) has Choose one eigenvalues.
Determine all critical points of the system of equations = 4-xy, = x - 4y³. dy dt Number of critical points: Two dx dt P = (?, ?) P = (?, ?) Find the corresponding linear system, J, near each critical point, if possible. J(?, ?) DNE = J(?, ?) (??) Find the eigenvalues of each linear system. NOTE: Enter the exact answers. J(?, ?) has Choose one eigenvalues. DNE J(?, ?) has Choose one eigenvalues.
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:P = (?, ?)
P = (?, ?)
Find the corresponding linear system, J, near each critical point,
if possible.
J(?, ?)
=
(??
Choose one
DNE
One
Two
T
J(?, ?)
??)
Find the eigenvalues of each linear system.
NOTE: Enter the exact answers.
J(?, ?) has
Choose one ▾
DNE
J(?, ?) has
Choose one ▾
eigenvalues.

Transcribed Image Text:Determine all critical points of the system of equations
dy
4- xy, x - 4y³.
dt
Number of critical points:
dx
dt
P = (?, ?)
P = (?, ?)
Find the corresponding linear system, J, near each critical point,
if possible.
J(?, ?)
=
?
(13)
?
Two
DNE
J(?, ?)
(??)
DNE
Find the eigenvalues of each linear system.
NOTE: Enter the exact answers.
J(?, ?) has
Choose one ▾
eigenvalues.
J(?, ?) has
Choose one
eigenvalues.
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