a) Which of the following systems of ODEs is autonomous and dynamical? OIII, where 1: y₁' = 3y₁, Y2' = Y₁ - Y2 ||: y₁ = y₂e³¹ — ln(1 + [y₂]), _Y₂ = (Y1Y₂) 5/2 III: d = -12 dx : In(3 + |y₁|), = dy₂ dx b) Find out which of the following options are equilibria of the dynamical system, y₁ = e³₁³2-1 − 1, y₂ = (y₁ – 4)y₂ OIV where I:(y, y) = (1, 0); II:(y†, yž) = (4, 0); III:(y₁, yž) = (4, 1/4); IV:(y†, yž) = (1, 1). |||| 011

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