a) Which of the following systems of ODEs is autonomous and dynamical? || III, where 1:y₁ = e sin(y₂), y2 = y1 + y2 dy₂ 11: = 5y1, dy₁ dx dx III: y₁' = 3y2, = -Y2 Y2Y1Y2Y/2 b) Find out which of the following options are equilibria of the dynamical system, IV 1 where I: (y₁, y) = (5, 0); II:(y†, y₂) = (3,0); III:(y₁, y) = (0, 1); IV:(y†, y₂) = (3, 2). y₁ = ₁²1, y2 = (y₁ - 3)2

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