Answered: 6.3.12 (Polar coordinates) Using the… | bartleby

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6.3.12

origin is a stable star for the linearized system.
6.3.12 (Polar coordinates)
Using the identity 0 = tan (y/x), show that
è = (xỷ – yi)/r².
6.3.13 (Another linear center that's actually a nonlinear spiral) Consider the sys-
tem i = -y- x', y = x. Show that the origin is a spiral, although the linearization

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