A homogeneous Set of 1st-order differential equationis given in the form (X - AM)(x)The matrix A can be described with the eigenvector-2 3matrix P=and the eigenvalue-21matrix D =-[-201en93"₂² (0) = 1. Find the solutions ", (t) and 4₂(t).The initial values are X₁ (0) = 0 and

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Answered: A homogeneous Set of 1st-order…

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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A homogeneous Set of 1st-order differential equation is given in the form (X - AM) (x) = The matrix A can be described with the eigenvector -2 3 matrix P= [²2] and the eigenvalue [-201 matrix D- en 93 "₂2 (0) = 1. Find the solutions ", (t) and 4₂(t). The initial values are X₁ (0) = 0 and