Problems 1. Consider the following four direction fields (also known as slope fields): (a) Draw some representative solution curves on these direction fields. (b) Which of these look autonomous? (c) For each of these differential equations, determine which direction field it corre- sponds to (if any): iy=zty i. 1 = (v + 1) =32 +1-v) hii y = z+ y wv. y=y' -y+1