Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t o. If this behavior depends on the initial value of y at t = 0, describe this...

Extracted text: Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t o. If this behavior depends on the initial value of y at t = 0, describe this dependency. y = y(y - 6)2 Where a = 6. Equilibrium solutions: y(1) = 0 and y(t) = 6. %3D Behavior of y(t) ast o depends on initial value y(to): y(to) > 6: y(1) diverges from y = 6. 0 < y(to)="">< 6:="" y(t)="" 0.="" y(to)="">< 0:="" y(1)="" diverges="" from="" y="0." where="" a="6." equilibrium="" solutions:="" y(1)="0" and="" y(1)="6." behavior="" of="" y(t)="" ast-="" o="" depends="" on="" initial="" value="" y(to):="" y(to)=""> 0: y(t) → 6. y(to) < 0:="" y(t)="" diverges="" from="" y="0." where="" a="" -="" 6.="" equilibrium="" solution:="" y(1)="6." ノ="" behavior="" of="" y(1)="" as="" t="" o="" is="" independent="" of="" initial="" value="" y(to):="" y(to)="" -="" 6="" for="" all="" y(to).="" ン="" where="" a="" -="" 6.="" equilibrium="" solutions:="" y(1)="0" and="" y(1)="" 6.="" behavior="" of="" y(1)="" as="" to="" depends="" on="" initial="" value="" y(to):="" y(1o)=""> 6: y(t) diverges from y = 6. 0 < y(to)="">< 6:="" y(t)="" 6.="" y(to)="">< 0:="" y(1)="" diverges="" from="" y="0." メイ="">