The geometric behavior of the solution of non-linear plane autonomous system x ′ = − y − x ( x 2 + y 2 ) 3 and y ′ = x − y ( x 2 + y 2 ) 3 such that X ( 0 ) = ( 1 , 0 ) .

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Chapter 11, Problem 11CR

To determine

The geometric behavior of the solution of non-linear plane autonomous system x′=−y−x(x2+y2)3 and y′=x−y(x2+y2)3 such that X(0)=(1,0).

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