The coefficient matrix for a system of linear differential equations of the form y' = Ay has the given eigenvalues and eigenspace bases. Find the general solution for the system.12-i2 + i--{:;}·---- {})~-0= 3i{)39i-9iλ1 = -1⇒>>(y1(t), y2(t), y3(t)) =(1 + i Y3 = -3i ⇒

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Answered: The coefficient matrix for a system of…

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 coefficient matrix for a system of linear differential equations of the form y'= Ay has the given eigenvalues and eigenspace bases. Find the general solution for the system. --{}} 1 -9i - -{;)}·- - - - {²} » - 0 A2 31 9i 1) A₁ = -1 => (y1(t), y2(t), y3(t)) = ( Y3 = -3/