MINDTAP st-Order Differential Equations MindTap-Cenga x MATH 2770, sect 0004610 324926383&snapshotid=843593& AA In Problems 21. 22. 23. 24. 25. 26. 27, and 28 find the critical points and phase portrait of the given autonomous first-order differential equation. Classify each critical point as asymptotically stable, unstable, or semi-stable. By hand, sketch typical solution curves in the regions in the zy-plane determined by the graphs of the equilibrium solutions. dy 21.2-3y dz Answer+ 0 is asymptotically stable (attractor) 3 is unstable (repeller) dy 22. --³ dz Answer+ is semi-stable Q Search Web ЛА 人 % & 5 6 7 8 E R T Y U K Q Search .numirelSBN 9780357048634&id=324926383&snapshotid=843593& AGE MINDTAP First-Order Differential Equations # MindTap-Cenga x MATH 2770, sec VIV 15. In parts (a) and (b) sketch isoclines f(x, y) = c(see the Remarks) for the given differential equation using the indicated values of c. Construct a direction field over a grid by carefully drawing lineal elements with the appropriate slope at chosen points on each isocline. In each case, use this rough direction field to sketch an approximate solution curve for the IVP consisting of the DE and the initial condition y(0) = 1. (a) dy/dz = z+y; e an integer satisfying-5555 (b) dy/dz=2+;c=c=1,c=c=4 Discussion Problems 16. (a) Consider the dinaation field of the differential matine 12 4 C Q Search Web % E R 5 ♫A A & * Y 7 akut da maku D F G H K 人 AA Q Seard
MINDTAP st-Order Differential Equations MindTap-Cenga x MATH 2770, sect 0004610 324926383&snapshotid=843593& AA In Problems 21. 22. 23. 24. 25. 26. 27, and 28 find the critical points and phase portrait of the given autonomous first-order differential equation. Classify each critical point as asymptotically stable, unstable, or semi-stable. By hand, sketch typical solution curves in the regions in the zy-plane determined by the graphs of the equilibrium solutions. dy 21.2-3y dz Answer+ 0 is asymptotically stable (attractor) 3 is unstable (repeller) dy 22. --³ dz Answer+ is semi-stable Q Search Web ЛА 人 % & 5 6 7 8 E R T Y U K Q Search .numirelSBN 9780357048634&id=324926383&snapshotid=843593& AGE MINDTAP First-Order Differential Equations # MindTap-Cenga x MATH 2770, sec VIV 15. In parts (a) and (b) sketch isoclines f(x, y) = c(see the Remarks) for the given differential equation using the indicated values of c. Construct a direction field over a grid by carefully drawing lineal elements with the appropriate slope at chosen points on each isocline. In each case, use this rough direction field to sketch an approximate solution curve for the IVP consisting of the DE and the initial condition y(0) = 1. (a) dy/dz = z+y; e an integer satisfying-5555 (b) dy/dz=2+;c=c=1,c=c=4 Discussion Problems 16. (a) Consider the dinaation field of the differential matine 12 4 C Q Search Web % E R 5 ♫A A & * Y 7 akut da maku D F G H K 人 AA Q Seard
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
I need question 15 and 22
Transcribed Image Text:MINDTAP
st-Order Differential Equations
MindTap-Cenga x
MATH 2770, sect
0004610 324926383&snapshotid=843593&
AA
In Problems 21. 22. 23. 24. 25. 26. 27, and 28 find the critical points and phase portrait of the given
autonomous first-order differential equation. Classify each critical point as asymptotically stable, unstable, or
semi-stable. By hand, sketch typical solution curves in the regions in the zy-plane determined by the graphs of
the equilibrium solutions.
dy
21.2-3y
dz
Answer+
0 is asymptotically stable (attractor)
3 is unstable (repeller)
dy
22. --³
dz
Answer+
is semi-stable
Q Search Web
ЛА
人
%
&
5
6
7
8
E
R
T
Y
U
K
Q Search
Transcribed Image Text:.numirelSBN 9780357048634&id=324926383&snapshotid=843593&
AGE MINDTAP
First-Order Differential Equations
#
MindTap-Cenga x
MATH 2770, sec
VIV
15. In parts (a) and (b) sketch isoclines f(x, y) = c(see the Remarks) for the given differential equation using
the indicated values of c. Construct a direction field over a grid by carefully drawing lineal elements with
the appropriate slope at chosen points on each isocline. In each case, use this rough direction field to
sketch an approximate solution curve for the IVP consisting of the DE and the initial condition y(0) = 1.
(a) dy/dz = z+y; e an integer satisfying-5555
(b) dy/dz=2+;c=c=1,c=c=4
Discussion Problems
16.
(a) Consider the dinaation field of the differential matine 12
4
C
Q Search Web
%
E
R
5
♫A
A
&
*
Y
7
akut da maku
D
F
G
H
K
人
AA
Q Seard
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