Verify that the vector X is a solution of the given homogeneous system. - (2) 5 -21 X' = 1 4 5-1 -1 -4 For x- ()- one X = 5 21 has X' = 4 5 -1 0 X = -1 -4 -1, 1 0X; -1 X = 1000 X X X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Verify that the vector X is a solution of the given homogeneous system.
1 4
5 -1
-1 -4 -1
X' =
For x-(1) ane
X =
21
5 , one has
X'=
1
4
5 -1 0 X =
-1 -4 -1
1
0X; X =
5
-21
X
x
X
I
+ X
-1-5
0⁰
√00!
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Transcribed Image Text:Verify that the vector X is a solution of the given homogeneous system. 1 4 5 -1 -1 -4 -1 X' = For x-(1) ane X = 21 5 , one has X'= 1 4 5 -1 0 X = -1 -4 -1 1 0X; X = 5 -21 X x X I + X -1-5 0⁰ √00! calcPad Operations Functions Symbols Relations Sets Vectors Trig Greek Help
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