00 Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as too. If this behavior depends on the initial value of y at t = 0, describe this dependency. Note that the right sides of these equations depend on t as well as y y 14sint+1+y = The behavior of y(t) is independent of initial value y(to): y(t) → 0 for all y(to). 0 t is independent of initial value y(to): The behavior of y(t) y(t)t-8 for all y(to) Depending on the initial value y(to) either y(t) diverges from y = - √2 sin + or the solution is -1 y(t) = - 14 sin(+)- -1 The behavior of y(t) is independent of initial value y(to): t → y(t) 0 for all y(to). Click if you would like to Show Work for this question: Open Show Work By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Question Attempts: 0 of 1 used