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Consider the initial value problem X₁ =0,0₁ dx dt = x(t) = = = - -6 15 3] 6 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 0 [8] X, " x(0) = [6] 4 and X2 -0,0₂ = = (b) Solve the initial value problem. Give your solution in real form. [8]. [8]

Consider the initial value problem X₁ =0,0₁ dx dt = x(t) = = = - -6 15 3] 6 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 0 [8] X, " x(0) = [6] 4 and X2 -0,0₂ = = (b) Solve the initial value problem. Give your solution in real form. [8]. [8]

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 dt +₁ = 0,0₁ = = x(t) = -6 15 6 -3x, X, (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [18] x(0) " = 6 4 and X₂ = ₁0₂ = (b) Solve the initial value problem. Give your solution in real form. (8) (18) Use the phase plotter pplane9.m in MATLAB to answer the following question. An ellipse with clockwise orientation trajectory. î 1. Describe the
Transcribed Image Text:Consider the initial value problem dx dt +₁ = 0,0₁ = = x(t) = -6 15 6 -3x, X, (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [18] x(0) " = 6 4 and X₂ = ₁0₂ = (b) Solve the initial value problem. Give your solution in real form. (8) (18) Use the phase plotter pplane9.m in MATLAB to answer the following question. An ellipse with clockwise orientation trajectory. î 1. Describe the
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