Verify that the vector X is a solution of the given homogeneous system. dx = 3x - 3y dt dy = 3x - 7y; dt -6t Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. X' = -6t For X = e one has X' = AX = Since the above expressions ---Select-- -6t e 3 is a solution of the given system. X =

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
100%
Verify that the vector X is a solution of the given homogeneous system.
dx
3D Зх — Зу
dt
x-(3) *
dy
3x – 7y;
-6t
e
X =
dt
Writing the system in the form X'
= AX for some coefficient matrix A, one obtains the following.
X' =
(€)
-6t
e
3
For X =
one has
X' =
AX =
(3).
-6t
Since the above expressions ---Select---
X =
is a solution of the given system.
Transcribed Image Text:Verify that the vector X is a solution of the given homogeneous system. dx 3D Зх — Зу dt x-(3) * dy 3x – 7y; -6t e X = dt Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. X' = (€) -6t e 3 For X = one has X' = AX = (3). -6t Since the above expressions ---Select--- X = is a solution of the given system.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Vector Space
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
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,