Consider the initial value problem X₁ x(t) = = dx dt 2-4, ₁- = - || (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 8 [2 2 X, (b) Solve the initial value problem. Give your solution in real form. e2(-6 sin (4t) + 8 cos(4t)) 1 x(0) = [8] and X₂ = 2+41, 0₂: = Use the phase plotter pplane9.m in MATLAB to answer the following question. Spiral, spiraling outward in the counterclockwise direction 1. Describe the trajectory. 1
Consider the initial value problem X₁ x(t) = = dx dt 2-4, ₁- = - || (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 8 [2 2 X, (b) Solve the initial value problem. Give your solution in real form. e2(-6 sin (4t) + 8 cos(4t)) 1 x(0) = [8] and X₂ = 2+41, 0₂: = Use the phase plotter pplane9.m in MATLAB to answer the following question. Spiral, spiraling outward in the counterclockwise direction 1. Describe the trajectory. 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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Question
![Consider the initial value problem
dx
dt
X₁ 2-41, 1 =
=
=
x(t) =
-
||
[2
2
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
8
X,
(b) Solve the initial value problem. Give your solution in real form.
e2(-6 sin (4t) + 8 cos(4t))
1
x(0) = [8]
and X₂
= 2+4i, ₂ =
=
Use the phase plotter pplane9.m in MATLAB to answer the following question.
Spiral, spiraling outward in the counterclockwise direction
[18]
1. Describe the trajectory.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f523637-2688-4999-8995-e2f7c47c64ad%2F9290873c-dd4d-42a3-8f80-03e29c486338%2F58lpk8e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the initial value problem
dx
dt
X₁ 2-41, 1 =
=
=
x(t) =
-
||
[2
2
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
8
X,
(b) Solve the initial value problem. Give your solution in real form.
e2(-6 sin (4t) + 8 cos(4t))
1
x(0) = [8]
and X₂
= 2+4i, ₂ =
=
Use the phase plotter pplane9.m in MATLAB to answer the following question.
Spiral, spiraling outward in the counterclockwise direction
[18]
1. Describe the trajectory.
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