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(Solved): Draw a direction field for the differential equation y'= -y(5 - y). Based on the direction field, ...



Draw a direction field for the differential equation y= -y(5 - y).
Based on the direction field, determine the behavior of yChoose one
decrease toward the solution y(t) = 0.
diverge from the solution y(t) = 5.
decrease toward the solution y(t) = 5.

Draw a direction field for the differential equation y'= -y(5 - y). 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. The two equilibrium solutions are y(t) = and y(t) = Solutions with initial values greater than 5 Choose one Solutions with initial values between 0 and 5 Choose one Solutions with initial values less than 0 Choose one Choose one decrease toward the solution y(t) = 0. diverge from the solution y(t) = 5. decrease toward the solution y(t) = 5. diverge from the solution y(t) = increase toward the solution y(t) = 5. increase toward the solution y(t) = 0.


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