a) Which of the following systems of ODEs is autonomous and dynamical? Oll where 1:y₁' = 3y₁, y2 = y₁ - y2 II: ₁ = dy₂ III: = In (3+|y1|), da = -Y2 y₂e₁ — ln(1 + y2), y2 = (Y₁Y2) 5/2 0₁ b) Find out which of the following options are equilibria of the dynamical system, 0₁ OIV where I: (y₁, y) = (1, 0); II: (y†, yž) = (4,0); III: (y, y) = (4, 1/4); IV:(y₁, yž) = (1, 1). Olll, y₁ = 12-11, y2 = (y₁ - 4)y2 Olll Oll

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