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. - 37 - 40 0 - 5 5t x' = 32 350X; X1=e -32 -32 3 4 -4X2=e 1 1 3t X3 =e -1 1 0

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 5CC: What operations can be performed on a linear system to arrive at an equivalent system?
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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.
- 37
- 40 0
-
5
5t
x' =
32
350X; X1=e
-32 -32 3
4
-4X2=e
1
1
3t
X3
=e
-1
1
0
Transcribed Image Text: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. - 37 - 40 0 - 5 5t x' = 32 350X; X1=e -32 -32 3 4 -4X2=e 1 1 3t X3 =e -1 1 0
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