Consider the differential equation y'(t) = y(y + 5)(1 -y). a) Find the solutions that are constant, for all t 2 0 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. D. -OSASU anu API OC. A>1 OD. A>0 d) Choose the correct direction field below. OA. OB. OC. OD. + 314 -2 -345 1 1213 45 1 1 21 13 1 4 151 ALL