In Problems 11, 12, 13, and 14 verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. 12. dy 6 +20y=24;y= - dt 5 6 5 -20t 13 6a 132 D: 26 3 cos 2 4 A P 1 & .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
In Problems 11, 12, 13, and 14 verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. 12. dy 6 +20y=24;y= - dt 5 6 5 -20t 13 6a 132 D: 26 3 cos 2 4 A P 1 & .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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Transcribed Image Text:In Problems 11, 12, 13, and 14 verify that the indicated function is an explicit solution of the given differential
equation. Assume an appropriate interval I of definition for each solution.
12.
dy
6
+20y=24;y=
-
dt
5
6
5
-20t
13
6a 132 D: 26
3 cos 2
4
A
P
1
&
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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