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: x(0) = [₁ 3. 4. 5. X(t) = [1 2] X(t), dt 2] dX(t) = [13] X(t), 0 d 0 5 = X(t) = [-1 -2] dt. x(0) = []. X(t), X(0) = [1]
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: x(0) = [₁ 3. 4. 5. X(t) = [1 2] X(t), dt 2] dX(t) = [13] X(t), 0 d 0 5 = X(t) = [-1 -2] dt. x(0) = []. X(t), X(0) = [1]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5 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.
d
2 X(t) = [1 2] X(t), X(0) =
15
42
dt
d
dt
-X(t)
H
2
= [13]
X(t), X(0) = []
0
-B
=
X(t) = [152] X(t), X(0) =
x(1)
-1
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71886d56-a83a-4d7b-8e18-9a0e9bdd4c82%2F7a045c62-8e41-4f05-acbe-83b2a534301a%2Fs8r8u_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.
d
2 X(t) = [1 2] X(t), X(0) =
15
42
dt
d
dt
-X(t)
H
2
= [13]
X(t), X(0) = []
0
-B
=
X(t) = [152] X(t), X(0) =
x(1)
-1
dt
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