Let y' = Ay be a system of differential equations where A = The matrix has spectrum X(A) = {2} and c = The vector d = |= k₁e 5 Y1 Y2 -2 What is the general solution to the system of differential equations? -15 0 t satisfies the equation (A - rI)d = c. Ex: 6 [35] 0 2 is an eigenvector of A corresponding to r = 2. +k₂ te t + e t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let y' =
=
Ay be a system of differential equations where A
=
The matrix has spectrum \(A) = {2} and c =
The vector d =
5
[]
3
[4] =
Y2
kie
-2
-15
[5]
What is the general solution to the system of differential equations?
t
satisfies the equation (A — rI)d = C.
Ex: 6
2 5
[69]
0 2
is an eigenvector of A corresponding to r = 2.
+k₂ te
t
t
] + ₁₁ [])
Transcribed Image Text:Let y' = = Ay be a system of differential equations where A = The matrix has spectrum \(A) = {2} and c = The vector d = 5 [] 3 [4] = Y2 kie -2 -15 [5] What is the general solution to the system of differential equations? t satisfies the equation (A — rI)d = C. Ex: 6 2 5 [69] 0 2 is an eigenvector of A corresponding to r = 2. +k₂ te t t ] + ₁₁ [])
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