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Consider the initial value problem dx 4 dt X₁ 1 x(t) = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [8] 7₁ = = 7¹x₁ X, " x(0) = and X₂ = - V2 = (b) Solve the initial value problem. Give your solution in real form. (181

Consider the initial value problem dx 4 dt X₁ 1 x(t) = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [8] 7₁ = = 7¹x₁ X, " x(0) = and X₂ = - V2 = (b) Solve the initial value problem. Give your solution in real form. (181

Advanced Engineering Mathematics
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 dx 4 dt X₁ 1 x(t) = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [18] 7₁ = = 7¹x₁ X, " and X₂ x(0) = = - An ellipse with clockwise orientation Describe the trajectory. V2 (b) Solve the initial value problem. Give your solution in real form. 18 = 8 Use the phase plotter pplane9.m in MATLAB to answer the following question. 1.
Transcribed Image Text:Consider the initial value problem dx 4 dt X₁ 1 x(t) = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [18] 7₁ = = 7¹x₁ X, " and X₂ x(0) = = - An ellipse with clockwise orientation Describe the trajectory. V2 (b) Solve the initial value problem. Give your solution in real form. 18 = 8 Use the phase plotter pplane9.m in MATLAB to answer the following question. 1.
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