Suppose the equations $\frac{d y}{d t}=-3 y+3 x y$ , $\frac{d x}{d t}=-x+x y$ describe the rates of growth of two interacting species, where x is the number of species A, measured in thousands, and y is the number of species B, measured in thousands.Determine all the equilibrium points in the xy-phase plane.(Select all that apply.)
A) $(0,0)$
B) $(0,1)$
C) $(1,1)$
D) $(1,1)$.
E) $(1,0)$

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The Answer of Suppose the equations $\frac{d y}{d t}=-3 y+3 x y$ , $\frac{d x}{d t}=-x+x y$ describe the rates of growth of two interacting species, where x is the number of species A, measured in thousands, and y is the number of species B, measured in thousands.Determine all the equilibrium points in the xy-phase plane.(Select all that apply.)
A) $(0,0)$
B) $(0,1)$
C) $(1,1)$
D) $(1,1)$.
E) $(1,0)$

Suppose the Equations dydt=−3y+3xy\frac{d y}{d t}=-3 y+3 x ydtdy​=−3y+3xy dxdt=−x+xy\frac{d x}{d t}=-x+x ydtdx​=−x+xy

Suppose the Equations $\frac{d y}{d t}=-3 y+3 x y$ $\frac{d x}{d t}=-x+x y$