a) pleaseI did get eigenvalues 2 +/- 2i and the corresponding eigenvectors but I don't understand how to get the general solution? Thank you very much for your help!! 2. For the following systems with complex eigenvalues, find the general solutions:-5² = (1 +²3² ) ×X(a) x'(b) x'(c) x' = 3x - 4y, y' = 4x + 3y=- 3x –2y, y'=9x + 3y

Here A= 1-513,Auxiliary equation: (1-λ)(3-λ)+5=0λ2-4λ+8=0λ=4±16-322=2±2i.Corresponding eigen vectors…

Answered: a) please I did get eigenvalues 2 +/-…

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) please I did get eigenvalues 2 +/- 2i and the corresponding eigenvectors but I don't understand how to get the general solution? Thank you very much for your help!!