4. d dt X(t): = 13] 4 X(t), X(0) = 4 2 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
I need help with 4 please
In the following problems, find the general solution, find a particular solution corresponding to the
given initial data, and plot the phase portrait:
4.
6.
{X(t) = [₁5] X(t), _X (0) =
=
dt
1
X(0)=2x). X(0)=
10. X(t) = 13 X(t), X(0) = [2]
dt
8.
12.
X() = X(), X(0) =
dt
dt
-H
X=[5]X(),
d.
dt X (t)
X(t), X(0) = 2
.
5.
9.
7.
11.
d
X(t) = [¹, 2] X(t), X(0)
dt
-1
d
dt
13.
-X(t)
=
d
ẳx = [ổ ]x),
dt
=
d
dt X (t)
1
[X(),
1X(t), X(0) =
-1
X(t), X(0) = 2
d
X(t) = [2] X(t), X(0) = [1]
dt
= [13] x(), X(0) =
(2)
Transcribed Image Text:In the following problems, find the general solution, find a particular solution corresponding to the given initial data, and plot the phase portrait: 4. 6. {X(t) = [₁5] X(t), _X (0) = = dt 1 X(0)=2x). X(0)= 10. X(t) = 13 X(t), X(0) = [2] dt 8. 12. X() = X(), X(0) = dt dt -H X=[5]X(), d. dt X (t) X(t), X(0) = 2 . 5. 9. 7. 11. d X(t) = [¹, 2] X(t), X(0) dt -1 d dt 13. -X(t) = d ẳx = [ổ ]x), dt = d dt X (t) 1 [X(), 1X(t), X(0) = -1 X(t), X(0) = 2 d X(t) = [2] X(t), X(0) = [1] dt = [13] x(), X(0) = (2)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,