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2) Sketch the phase portrait of the system x (t) = Ax (t) if (a) 5= [ 9), P=[7}] (1) 5= [ • ? ], P=[} >>]

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Answer #1

A = 2 valao of matix ten Soluhon JA-1 = 2- ao opposite aign both eigen value of Caticap pant is Called sadle pont olays une-t2 2 d is eigen ualue of p 1-A IP-ASO (A-9)(1)-0 2 oppose A n eigen Valiue phase portsait of syatem y- A * samo abous phase pPhase postraun of aystem of lunear eq has two positu distined Ял 17/27717 pe Node Stabilety tf unstable ,both eigen valuo ar

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2) Sketch the phase portrait of the system x' (t) = Ax (t) if (a) 5=...
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