7 -1 2 Express the system X'= AX, where A = 4 3 8 in standard expanded form. Let X [596] 11 li [])
7 -1 2 Express the system X'= AX, where A = 4 3 8 in standard expanded form. Let X [596] 11 li [])
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
![Express the system X' = AX, where A =
4
5
y'
11
li
li
7 -1 2
li
(₁x-[:])
3 8 in standard expanded form. Let X =
96]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F220c0d4d-745f-448d-97ae-ea8760e2405d%2F0bc09bca-9a30-4395-baba-04c73144ced2%2Ftftu6p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Express the system X' = AX, where A =
4
5
y'
11
li
li
7 -1 2
li
(₁x-[:])
3 8 in standard expanded form. Let X =
96]
![Given the matrix A and vector-valued functions x₁(t), x₂(t), x3(t), and x4(t), determine whether each
function satisfies the system of differential equations x'(t) = Ax(t). (Select all that apply.)
0
x₁ (t)
x₂(t)
x3(t)
x4(t)
X
2-1 1
A = 0 0 2
0-35
[1].
₂(t)
x₁ (t) = e²t
2
* « - - - - - - ;
2, x4(t)
e2t 3, x3(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F220c0d4d-745f-448d-97ae-ea8760e2405d%2F0bc09bca-9a30-4395-baba-04c73144ced2%2Flbevgob_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the matrix A and vector-valued functions x₁(t), x₂(t), x3(t), and x4(t), determine whether each
function satisfies the system of differential equations x'(t) = Ax(t). (Select all that apply.)
0
x₁ (t)
x₂(t)
x3(t)
x4(t)
X
2-1 1
A = 0 0 2
0-35
[1].
₂(t)
x₁ (t) = e²t
2
* « - - - - - - ;
2, x4(t)
e2t 3, x3(t)
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