For each of the following autonomous equations, identify the equilibrium solutions, draw the phase line, and classify each equilibrium solution as a sink, source, or node.Then on one pair of axes, sketch graphs of the solutions satisfying the given initial conditions. Do these without the use of technology. (WARNING: There is one trick question in here...)(a)(b).(c)(d)dy dt= y - 6y - 7, y (0) = 1, y (1) = 0, y (0) = -7, y (0) = 5dw dtdy dt= w cos w, w(0) = 0, wu(3) = 1, w(0) = 2, w(0) = -17 - 21 4 (0) = 0, 4 (1) = 3, 3 (0) = 2dw= 3w3 - 12w23, w(0) = -1, w(0) = 0, wu(0) = 3, w(1) = 3