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/
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/
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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Transcribed Image Text: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
2-i
2 + i
--{:;}·---- {})~-
0
= 3i
{)
3
9i
-9i
λ1 = -1⇒>>
(y1(t), y2(t), y3(t)) =
(
1 + i Y3 = -3i ⇒
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