Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t→ ∞. If this behavior depends on the initial value of y at t = 0, describe this dependency. y = 14 sint+1+y Note that the right sides of these equations depend on t as well as y. 0 Depending on the initial value y(to) either y(t) diverges from 14 y=-- sin or the solution is 14 y (t)=- √2 (1+7)-1 in (+)-1 O 0 The behavior of y(t) is independent of initial value y(to): t y(t) 0 for all y(to). The behavior of y(t) is independent of initial value y(to): t-8 for all y(to). 0 y(t) 0 t The behavior of y(t) is independent of initial value y(to): y(t) 0 for all y(to).