how to Find equilibrium points and plot phase portrait of the following system of differential equations

Question : Find equilibrium points and plot phase portrait of the following system of differential equationsx’=x(8-4x-y) y’=y(6-x-2y)Solution:Given system of differential equationsx’=x(8-4x-y)                           (1)y’=y(6-x-2y)                           (2)We shall find equilibrium points by substitutingx’=0x(8-4x-y)=0 x=0, 4x+y=8                        (3)And y’=0y (6-x-2y)=0 y=0, x+2y=6                    (4) (0,0) is an equilibrium…

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