A nonhomogemeous linear system X- AX+ Fis given. (a) Delermine the unigue critical point X [b)...

 

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A nonhomogemeous linear system X- AX+ Fis given. (a) Delermine the unigue critical point X [b) Use a numerica sciver to determire the nature of the critical point in (a). O From the graph, X, sppears to be an unstable spiral point. O From the grach, X, sopears te be a stabie node or degenerate stable node O Feom the graph, X, accears to be a center. O From the graph, X, appears to be an unstatbie node or degenerate unstatie node. O From the grach, X appears to te a stabie seira point. 0 avestigata the relationshio betwaen X and the crtical pent (0, 0) of the homageneous linear system X- AX X, caroonds to the ertical puint (3, 0) of the bomegenaaus incar systom X- AX since the nonhomogenees systam can be obtained from the homogeneus systim by shifting the r-coardnate a magnitude of ua in the agtve x drection and theycosrdinate a magntude ot uns) in the re deectien. Snce r .4-1and thhs crtical peint Seiect degenerate unstable node uatie node n unetable eira poi Need Help? conter stabie apir pot table nede dagensrate tabie node A nonhomogemeous linear system X- AX+ Fis given. (a) Delermine the unigue critical point X [b) Use a numerica sciver to determire the nature of the critical point in (a). O From the graph, X, sppears to be an unstable spiral point. O From the grach, X, sopears te be a stabie node or degenerate stable node O Feom the graph, X, accears to be a center. O From the graph, X, appears to be an unstatbie node or degenerate unstatie node. O From the grach, X appears to te a stabie seira point. 0 avestigata the relationshio betwaen X and the crtical pent (0, 0) of the homageneous linear system X- AX X, caroonds to the ertical puint (3, 0) of the bomegenaaus incar systom X- AX since the nonhomogenees systam can be obtained from the homogeneus systim by shifting the r-coardnate a magnitude of ua in the agtve x drection and theycosrdinate a magntude ot uns) in the re deectien. Snce r .4-1and thhs crtical peint Seiect degenerate unstable node uatie node n unetable eira poi Need Help? conter stabie apir pot table nede dagensrate tabie node