following problems, find the general solution as a al solutions, find a particular solution correspon and plot the phase portrait: 5 X(t) = [1 2] X(t), X(0) = t 42 [2] X (0) x= [3] x0, x= []. X(t) 03 t -11 05 X(t) = [₁52] X(), X(0) = t -1 -2 -1 Ex() = [37] X(), x(0) = [2] X(t) X 1
following problems, find the general solution as a al solutions, find a particular solution correspon and plot the phase portrait: 5 X(t) = [1 2] X(t), X(0) = t 42 [2] X (0) x= [3] x0, x= []. X(t) 03 t -11 05 X(t) = [₁52] X(), X(0) = t -1 -2 -1 Ex() = [37] X(), x(0) = [2] X(t) X 1
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
6 please
![In the following problems, find the general solution as a linear combination
of real solutions, find a particular solution corresponding to the given initial
data, and plot the phase portrait:
3.
4.
5.
6.
d
2 X(t) = [1 2] X(t), X(0) =
4
dt
d
2
1x) = [13] X(), X(0) =
-X(t)
dt
0
H
[]
d
X(1) - [17]
=
0
X(t) = [152] X(t), X(0) =
dt
-2
dt
- A
X(t), X(0) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71886d56-a83a-4d7b-8e18-9a0e9bdd4c82%2Fa8621152-b545-4c46-b4b1-a5a0ead4c67b%2Fgqgh23k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the following problems, find the general solution as a linear combination
of real solutions, find a particular solution corresponding to the given initial
data, and plot the phase portrait:
3.
4.
5.
6.
d
2 X(t) = [1 2] X(t), X(0) =
4
dt
d
2
1x) = [13] X(), X(0) =
-X(t)
dt
0
H
[]
d
X(1) - [17]
=
0
X(t) = [152] X(t), X(0) =
dt
-2
dt
- A
X(t), X(0) =
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