(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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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