Consider the Initial Value Problem dx dt - [*]**-[1] (a) Find the eigenvalues and eigenvectors for the coefficient matrix. X₁ -1-20₁- [8] and A₂-1+2/0₂ (b) Find the solution to the initial value problem. Give your solution in real form. x(t) 181 Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory: Spiral, spiraling inward in the counterclockwise direction 1. Describe the trajectory. B [8]
Consider the Initial Value Problem dx dt - [*]**-[1] (a) Find the eigenvalues and eigenvectors for the coefficient matrix. X₁ -1-20₁- [8] and A₂-1+2/0₂ (b) Find the solution to the initial value problem. Give your solution in real form. x(t) 181 Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory: Spiral, spiraling inward in the counterclockwise direction 1. Describe the trajectory. B [8]
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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![Consider the Initial Value Problem
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
[8]
A₁
dx
dt
-1-21,0₁ =
and A₂ =-1+2₂=
(b) Find the solution to the initial value problem. Give your solution in real form.
x(t) =
181
x(0)= -
Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory:
Spiral, spiraling inward in the counterclockwise direction
1. Describe the trajectory.
[8]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec42d8d2-a477-479e-a302-04e5263e200e%2Fcd7aee68-9c04-47df-869f-a0f779296cb9%2Fytmduw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the Initial Value Problem
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
[8]
A₁
dx
dt
-1-21,0₁ =
and A₂ =-1+2₂=
(b) Find the solution to the initial value problem. Give your solution in real form.
x(t) =
181
x(0)= -
Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory:
Spiral, spiraling inward in the counterclockwise direction
1. Describe the trajectory.
[8]
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