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 equations x’=x(8-4x-y) y’=y(6-x-2y) Solution: Given system of differential equations x’=x(8-4x-y)                           (1) y’=y(6-x-2y)                           (2) We shall find equilibrium points by substituting x’=0 x(8-4x-y)=0 x=0, 4x+y=8                        (3)…

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