Question: Please show step by step solution! Use the function L(x, y) = antay, for appropriate choices of a > 0 and n E N, to

Please show step by step solution!

Use the function L(x, y) = antay, for appropriate choices of a > 0 and n E N, to show that the origin is the unique fixed point of the differential equation ic = 3y - 3x3 - 3xy, y = -x - y3 - xzy. Deduce the stability type of the origin

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