Verify that the vector X is a solution of the given homogeneous linear system. X' = (3 cos(t) (sin(t)) et sin(t), Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. For or (30 X' = -2 -2 AX = dx dt dy dt = -2x + 5y - = -2x + 4y; 5 5 cos(t) (3 cos(t) sin(t), 4 1) et, 00 x = X X one has 5 cos(t)
Verify that the vector X is a solution of the given homogeneous linear system. X' = (3 cos(t) (sin(t)) et sin(t), Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. For or (30 X' = -2 -2 AX = dx dt dy dt = -2x + 5y - = -2x + 4y; 5 5 cos(t) (3 cos(t) sin(t), 4 1) et, 00 x = X X one has 5 cos(t)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
Related questions
Question
![Verify that the vector X is a solution of the given homogeneous linear system.
X' =
(sin(t)) et
(3 cos(t)
sin(t),
Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following.
For
or (3 c
-2
X' =
-2
AX =
dx
dt
dy
dt
= -2x + 5y
= -2x + 4y;
5 cos(t)
-
5
(3 cos(t) sin(t)
4
1) et,
DO
x -
X
X
one has
5 cos(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccae5729-7489-41ed-a32a-24cdd49b7598%2F4519cfa9-3d8e-4377-913f-8f9da224dd9b%2Fb8a9mhj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Verify that the vector X is a solution of the given homogeneous linear system.
X' =
(sin(t)) et
(3 cos(t)
sin(t),
Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following.
For
or (3 c
-2
X' =
-2
AX =
dx
dt
dy
dt
= -2x + 5y
= -2x + 4y;
5 cos(t)
-
5
(3 cos(t) sin(t)
4
1) et,
DO
x -
X
X
one has
5 cos(t)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)