Show that the linearization of (4) at (2,3) is u' = -2u-2v, v' = 3v. Then show that the coeffiecient matrix of this linear system has the conjugate eigenvalues ?_1,?_2 = -1??5 with negative real part. Hence (s, 2) is a spiral sink for the system in (4).
4: dx/dt = 5x - x^2 -xy
dy/dt = -2y + xy
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4: dx/dt = 5x - x^2 -xy
dy/dt = -2y + xy
I will give Lifesaver rating for work shown and correct answer!
Thank you