(a) (b) Verify whether the vector X = equation dx dt dy dt = 10x - 5y =8x-12y 7643 14 -10/ е X'= is the solution of the system of the differential Determine the eigenvalues of the following system of linear differential equation. 3-5 X 5 -5

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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(a)
(b)
Verify whether the vector X =
equation
dx
dt
dy
dt
= 10x - 5y
=8x-12y
7643
14
e
-10 is the solution of the system of the differential
Determine the eigenvalues of the following system of linear differential equation.
3-5
5 -5
X'=
X
Transcribed Image Text:(a) (b) Verify whether the vector X = equation dx dt dy dt = 10x - 5y =8x-12y 7643 14 e -10 is the solution of the system of the differential Determine the eigenvalues of the following system of linear differential equation. 3-5 5 -5 X'= X
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,