Consider the following system of differential equations: dx dt =x−y+x2y dy dt =6x−2y−x2y. (a) Determine the Jacobian of the system for the steady state (0,0). (b) Determine the stability of the steady state and classify the steady state as a node, spiral, saddle point or center.  (c) Does the system have another steady state? If so, find the steady state.

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A: Answer

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A: Please check step 2 for the solution.!

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A: Please refer the attached image for complete solution.

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