systems(a)(b)Use the eigenvalue method to find a general solution of the followingx₁ = 7x₁ - 5x2x2 = 4x₁ + 3x2x₁ = 2x₁ + x2 = x3x2x3 = 4x₁ + 4x₂ + 2x3=-4x13x2 - X3

Solving the system of linear differential equation by eigen value method

Answered: systems (a) Use the eigenvalue method…

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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The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system. x₁ = 3x₁ + x2 + x3, x2 = -7x₁5x2-X3, X3 = 7x₁ + 7x2 + 3x3 What is the general solution in matrix form? x(t) =
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systems (a) Use the eigenvalue method to find a general solution of the following Sx₁ = 7x1 - 5x2 x₂ = 4x1 + 3x2 x₁ = 2x₁ + x2 - X3 (b) x2 = = -4x13x2 - x3 x3 = 4x₁ + 4x₂ + 2x3