dx Consider the system 2 - NICO ху 2 22 dy dt = 2y – 1-...

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dx Consider the system 2 - NICO ху 2 22 dy dt = 2y – 1- 2XY dt 2

(a) Identify all critical points of the system.

(b) For each critical point, use eigenvalues to classify the critical points according to stability (stable, unstable, asympt

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Answer 1

Answer #1

dx dt dt - S T - - 뽄 =285를 왕복 For critical point dae = 0 and dy a dt dt dx - 4 0 dt Either O 00 3 dy dt Either 를 를 자율 =0여 대용 16 a= -b tre -6 ± √52 =-672V13 2x 4 2x 4 2a 2 = - 3ť vis 21 = -3+√3 4 21=- 3+ 3.6 da = -3-√13 4 3 22=-3-3.6 6.6 a=0.6 Oce o 2

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