Matrix System -8 -11 -2 x' = 2 X; X1 = e-2t -2 -6 -6 X2 = et -1 X3 = e3t -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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First verify that the given vectors are solutions of the given system. Then use the Wronskian to show that they are linearly independent. Finally, write the general solution of the system. find a particular solution of the indicatedlinear system that satisfies the below initial conditions

x1(0) = 5 , x2 (0) = -7, x3 (0)= 11

Matrix System
-8
-11
-2
x' =
2
X; X1 = e-2t
-2
-6
-6
X2 = et
-1
X3 = e3t
-1
Transcribed Image Text:Matrix System -8 -11 -2 x' = 2 X; X1 = e-2t -2 -6 -6 X2 = et -1 X3 = e3t -1
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