Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Consider the following system. dx = -9x + 4y dt dy 5 -x + 2y dt 2 Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = -8,1 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K₁ = K₂ 1,4 = Find the general solution of the given system. (x(t), y(t)) = -8t ²/² c ₁ e ² + 4c₂e-8²,₁ c₁e² + c₂e-
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Transcribed Image Text:Consider the following system. dx = -9x + 4y dt dy 5 -x + 2y dt 2 Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = -8,1 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K₁ = K₂ 1,4 = Find the general solution of the given system. (x(t), y(t)) = -8t ²/² c ₁ e ² + 4c₂e-8²,₁ c₁e² + c₂e-
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