Let y' = Ay be a system of differential equations where A = The matrix has spectrum A(A) = {-5} and c = The vector d = 4 What is the general solution to the system of differential equations? [16] Yı 3/2 satisfies the equation (A - rI)d = c. 5 is an eigenvector of A corresponding to r = -5. Ex: 6 Ex: 6 t t [][]+( [] []) = k₁e +k₂ te 4 -5 te

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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CHALLENGE 8.6.2: Systems of differential equations with repeated real eigenvalues.
ACTIVITY
466970 3046070 qx3zay7
8.8: Application: Systems of first order differential equations
Jump to level 1
Let y' = Ay be a system of differential equations where A =
The matrix has spectrum A(A) = {-5} and c =
The vector d =
Yı
Y/2
[4]
What is the general solution to the system of differential equations?
= k₁e
Ex: 6
[16]
satisfies the equation (A - rI)d = c.
t
Ex: 6
is an eigenvector of A corresponding to r = -5.
+k₂ te
-5
4
0 -5
t
+ e
t
3
1
zyBoo
Feedb
Transcribed Image Text:CHALLENGE 8.6.2: Systems of differential equations with repeated real eigenvalues. ACTIVITY 466970 3046070 qx3zay7 8.8: Application: Systems of first order differential equations Jump to level 1 Let y' = Ay be a system of differential equations where A = The matrix has spectrum A(A) = {-5} and c = The vector d = Yı Y/2 [4] What is the general solution to the system of differential equations? = k₁e Ex: 6 [16] satisfies the equation (A - rI)d = c. t Ex: 6 is an eigenvector of A corresponding to r = -5. +k₂ te -5 4 0 -5 t + e t 3 1 zyBoo Feedb
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