Question
Asked Jul 19, 2019
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Find the general solution to given set of first order equations.

Please refer to image.

O1 1
101
1
1 0
.GED
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O1 1 101 1 1 0 .GED

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Expert Answer

Step 1

The given set of first order equation is,

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1 1 0 1X,where X= 1 ち| and X 10 ||

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Step 2

Find the Eigen values of the matrix.

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det (A-AI)0 0 1 1 10 0 1 0 12 0 1 0= 0 det 1 0 0 0 1 0 A 1 1 det 1 0 A 1 =0 1 0 A 1 0-2 1 1 1 0 A 1 0 0 A 1 -(2-)-1(-2-)+1(1-(-2))= 0

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Step 3

On further simpli...

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-23 1+1+ 2 = 0 -5322= 0 Check (A1) is factor of the polynomial or not. 0 3 2 1 --2 -1 1 2 0 Therefore, A1 is factor of the polynomial equation -A3 +32 + 2 = 0.

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