For the first order linear system of ODEs: y'(O) = Ay(t), where a 1-0) A= Determined the parameter a such that the matri

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For The First Order Linear System Of Odes Y O Ay T Where A 1 0 A Determined The Parameter A Such That The Matri 1 (28.33 KiB) Viewed 24 times

For the first order linear system of ODEs: y'(O) = Ay(t), where a 1-0) A= Determined the parameter a such that the matrix A has (a): two distinct eigenvalues; (b): a repeated eigenvalue; (c): a pair of conjugate complex eigenvalues. (d): What is the equilibrium of the system? For the conjugate complex eigenvalues, sketch the graphs of the two components (t) and yz(t) against time t; and the phase plot assuming y. (0) = 1 and y(0) = -1,