Let y'= Ay be a system of differential equations where A = The matrix has spectrum X(A) = {3} and c = = [8] The vector d = 5 Y2 = k₁e satisfies the equation (A-TI)d = c. What is the general solution to the system of differential equations? t [*][*]+([H]+[H]) (tel E te 3 0 3 is an eigenvector of A corresponding to >> = 3. Ex: 6 Ex: 6 +e F

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Systems of differential equations with repeated real eigenvalues.

 

Let y'= Ay be a system of differential equations where A =
The matrix has spectrum X(A) = {3} and c = = [8]
The vector d =
5
91
Y2
What is the general solution to the system of differential equations?
satisfies the equation (A-TI)d = c.
t
[*][*]+(2¹[H]+[H])
(tel E
k₂ te
= k₁e
3
0 3
is an eigenvector of A corresponding to = 3.
Ex: 6
Ex: 6
+e
F
Transcribed Image Text:Let y'= Ay be a system of differential equations where A = The matrix has spectrum X(A) = {3} and c = = [8] The vector d = 5 91 Y2 What is the general solution to the system of differential equations? satisfies the equation (A-TI)d = c. t [*][*]+(2¹[H]+[H]) (tel E k₂ te = k₁e 3 0 3 is an eigenvector of A corresponding to = 3. Ex: 6 Ex: 6 +e F
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