A direction field for the differential equation y'= 9x cos(xy) is shown. y 2.0/1 1 / vyt14x -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 (a) Sketch the graphs of the solutions that satisfy the given initial conditions. (i) y(0) = 0 (iii) y(0) = 1 (ii) y(0) = 0.5 (iv) y(0) = 1.6 \\ \2.0r ////// 2 1 1 1 // 0-0.6 -0.4 -0.2 0.0 0.2 0.4 2:0 1.5 " 0.5 A /// // -0.4 -0.2 0.0 0.2 0.4 0.6 0-0.6 (b) Find all the equilibrium solutions. (Select all that apply.) Oy=0 H4+ y = 0.5 Oy=1 Oy = 1.5 Oy=2 0.6 1/4x /// -0.6 -0.4 -0.2 / 1.5 0.0 211911 19 2.0r 1.5 0.5 -0.2 0-0.6 -0.4 0.0 0.2 0.4 0.6 1 1 1 1 1 1 1/¹/+pX 0.2 0.4 0.6