dx dt dy = −y − x(x² + y²)¹/2, = x − y(x² + y²)¹/2 dt (a) Show that the system is almost linear in the neighborhood of the origin. (b) Determine the type and stability of (0,0) for the corresponding linear system. (c) Now consider the original nonlinear equation. Let r² = x² + y², show that r → 0 as t → ∞o.

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