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Draw a direction field for the differential equation y=-y(3-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 3 Choose one Solutions with initial values between 0 and 3 Choose one Solutions with initial values less than 0 Choose one

Draw a direction field for the differential equation y=-y(3-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 3 Choose one Solutions with initial values between 0 and 3 Choose one Solutions with initial values less than 0 Choose one

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Draw a direction field for the differential equation y=-y(3-y). 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. The two equilibrium solutions are y(t) = and y(t) = Solutions with initial values greater than 3 Choose one Solutions with initial values between 0 and 3 Choose one Solutions with initial values less than 0 Choose one
Transcribed Image Text:Draw a direction field for the differential equation y=-y(3-y). 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. The two equilibrium solutions are y(t) = and y(t) = Solutions with initial values greater than 3 Choose one Solutions with initial values between 0 and 3 Choose one Solutions with initial values less than 0 Choose one
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