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10-7) Using matrix methods, find the general solution of dx/dt = [3 1]* x [0 3]

10-7)
Using matrix methods, find the general solution of
dx/dt =
[3 1]* x
[0 3]
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Math-8100455.pdf

Solution
1. Given x
˙ = 3
0 1
3 x This is of the form
˙
X = AX
Assume X=Zeλt be the solution of the above equation [Z is a constant
vector]. Then this reduces to
˙
X = Zλeλt = λX = AX
The...

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