Find a general solution of the system x'(t) = Ax(t) for the given matrix A. A= 176-18 5 6 14-6 - 15 -3 Write the characteristic equation for the given matrix A. -³+7²-25r+39=0 (Type an equation using r as the variable.) Find a general solution. x(t)=

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find a general solution of the system x'(t) = Ax(t) for the given matrix A.
A =
17
- 3
14
-6 - 18
5
6
6 15
Write the characteristic equation for the given matrix A.
-r
r³+7r²-25r+39=0
(Type an equation using r as the variable.)
Find a general solution.
x(t) =
Transcribed Image Text:Find a general solution of the system x'(t) = Ax(t) for the given matrix A. A = 17 - 3 14 -6 - 18 5 6 6 15 Write the characteristic equation for the given matrix A. -r r³+7r²-25r+39=0 (Type an equation using r as the variable.) Find a general solution. x(t) =
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