a) Which of the following systems of ODEs is autonomous and dynamical?
0Il,
where l: y1' = 3y1, y2' = y1 - y2 II: y1 = y2ey1 - ln(1+|y2|), y2 = (y1J 5/ 1: d1 = ln(3+ |y1|) dy2 = -y2 dx xp
b) Find out which of the following options are equilibria of the dynamical system,
OI OIV where1: (y, y) = (1, 0); 11: (y, y) = (4, 0); II: (y, y) = (4, 1/4); IV: (y, y) = (1, 1).
0I