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The questions below are about 2×2 autonomous systems of ODE. Parts (a) and (b) are unrelated....

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Advance Math

The questions below are about 2×2 autonomous systems of ODE.Parts (a) and (b) are unrelated. (a) Find the equilibrium solutions(critical points) of the system dx/dt = 2x−xy, dy/dt =−y+xy.(b)Consider the autonomous system dx/d t= −y+xy^3, dy/dt = x−x^3. Thesystem has an isolated critical point at (x,y) = (1,1). Find theassociated linear system at(1,1). Name and classify (as stable orunstable) the critical point of the linear system.

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