Consider the Initial Value Problem: x₁ = x2 X₁ = v1 = x2 = 2x1 + 2x2 - 4x1 - 2x₂¹ (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [8] x1 (0) x2 (0) = 4 = 6 , and X₂ = v₂ = (b) Solve the initial value problem. Give your solution in real form. x1 An ellipse with clockwise orientation phase plotter pplane9.m in MATLAB to describe the trajectory. [18] î 1. Use the
Consider the Initial Value Problem: x₁ = x2 X₁ = v1 = x2 = 2x1 + 2x2 - 4x1 - 2x₂¹ (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [8] x1 (0) x2 (0) = 4 = 6 , and X₂ = v₂ = (b) Solve the initial value problem. Give your solution in real form. x1 An ellipse with clockwise orientation phase plotter pplane9.m in MATLAB to describe the trajectory. [18] î 1. Use the
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:
x₁
x2
X₁ = 0,₁ % v1
= 2x1 + 2x2
=
=
-4x12x₂²
x1 (0)
= 4
x2 (0) 6
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
181
=
, and X₂ = ₁0₂
=
(b) Solve the initial value problem. Give your solution in real form.
x1
x2 =
An ellipse with clockwise orientation
phase plotter pplane9.m in MATLAB to describe the trajectory.
[B]
1. Use the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6890296c-2fc0-4a83-b66a-ee1a85d807a1%2Fd349676f-1869-4866-9076-a3874a74f1e7%2Fd2fwm5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the Initial Value Problem:
x₁
x2
X₁ = 0,₁ % v1
= 2x1 + 2x2
=
=
-4x12x₂²
x1 (0)
= 4
x2 (0) 6
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
181
=
, and X₂ = ₁0₂
=
(b) Solve the initial value problem. Give your solution in real form.
x1
x2 =
An ellipse with clockwise orientation
phase plotter pplane9.m in MATLAB to describe the trajectory.
[B]
1. Use the
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