Consider the system dx · (1) dt 3 (a) Let x= ge" be the solution of the system (1) then, 5-r -1 (2) 3 1-r5. The eigenvalues are the roots of the equation. 5-r | 3 1-r| p2 - 6r +8 =0 (r-2)(r-4)=0 r= 2,4 5 -1 are r = 2 and r, = 4 Therefore, the eigenvalues of Commont

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