calculus subject

Draw a direction field for the differential equation y' = -y(1 - y). Based on the direction field, determine the behavior of y as t - co. If this behavior depends on the initial value of y at t = 0, describe this dependency. The two equilibrium solutions are y ( t ) = and y(t) = Solutions with initial values greater than 1 Choose one Solutions with initial values between 0 and 1 Choose one Solutions with initial values less than 0 Choose one