Consider a certain system of two first order linear differential equations in two unknowns, x' = Ax, where A is a matrix of real numbers. Suppose one of the eigenvalues of 1 the coefficient matrix A is r = 3 – 4i, which has a correspondiing eigenvector,, is the system's real-valued general solution? What 2+ Lütfen birini seçin: cos 4t 2 cos 4t – sin 4t sin 4t + Czet 2 sin 4t – cos 4t cos 4t 2 cos 4t + sin 4t sin 4t Ciest + C2et ( 2 sin 4t – cos 4t )- cos 4t 2 sin 4t + cos 4t ) sin 4t Cjest + C2e% 2 cos 4t + sin 4t ). sin 4t cos 4t + Czet 2 cos 4t – sin 4t 2 sin 4t + cos 4t

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 31E
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Consider a certain system of two first order linear differential equations in two
unknowns, x' = Ax, where A is a matrix of real numbers. Suppose one of the eigenvalues of
the coefficient matrix A is r = 3 – 4i, which has a corresponding eigenvector
What
is the system's real-valued general solution?
Lütfen birini seçin:
cos 4t
2 cos 4t – sin 4t
:)-
sin 4t
Cest
+ Cze* ( .
2 sin 4t – cos 4t
cos 4t
sin 4t
O Ciešt
+ C2e3t
2 cos 4t + sin 4t
2 sin 4t – cos 4t
)
sin 4t
cos 4t
+ Cze%
2 cos 4t + sin 4t
2 sin 4t + cos 4t
Cos 4t
2 sin 4t + cos 4t
sin 4t
O Cget
+ Cze* (,
2 cos 4t – sin 4t
-
Transcribed Image Text:Consider a certain system of two first order linear differential equations in two unknowns, x' = Ax, where A is a matrix of real numbers. Suppose one of the eigenvalues of the coefficient matrix A is r = 3 – 4i, which has a corresponding eigenvector What is the system's real-valued general solution? Lütfen birini seçin: cos 4t 2 cos 4t – sin 4t :)- sin 4t Cest + Cze* ( . 2 sin 4t – cos 4t cos 4t sin 4t O Ciešt + C2e3t 2 cos 4t + sin 4t 2 sin 4t – cos 4t ) sin 4t cos 4t + Cze% 2 cos 4t + sin 4t 2 sin 4t + cos 4t Cos 4t 2 sin 4t + cos 4t sin 4t O Cget + Cze* (, 2 cos 4t – sin 4t -
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