Wherea=3. Equilibriurn solutions:%3Dy(t) = 0 and y(1) = 3.%3DASSAS SSASS NSASNS11SA ANNS INIVS 11Behavior of y(t) as t depends on initial value y(to):y(to) > 3:y(1) diverges fromy3.%3DNUSN NANA NNI\ NNA114121110 < y(tn) < 3: y() 0.NNSSNINSNN11N411y(to) < 0:y(r) diverges from y = 0.%3D7511 1117D.Wherea-3.Equilibrium solutions:y() = 0 and y(t) = 3.Behavior of y() as t-o depends on initial value y(to):y(to) > 0: y(r) –→ 3.y(to) < 0: y(r) diverges from y = 0.7111114 t71 Drawa direction field for the given differential equation. Based on the direction field, deternine the behavior of y as 1 → * Ifthis behavior depends on the initial value of y atr = 0, describe this dependency.y = yv – 3)²Where a 3. Equilibrium solution:(t) = 3.Behavior of yr) as t – is independent of initial value y(to):y(to) → 3 for all véni ).Wherea = 3.Equilibrium solutians:y(t) = 0 and y(1) = 3.Behavior of y(t) as t → »depends on initial value y(fo):y(to) > 3:y(1) diverges from y = 3.0

We will use basic knowledge of calculus to answer this question.

Drawa direction field for the given differential equation. Based on the direction field, deternine the behavior of y as 1 → * If this behavior depends on the initial value of y atr = 0, describe this dependency. Wherea 3. Equilibrium solution: y(1) = 3. Behavior of yir) as t → zis independent of initial value y(to ): y(o) → 3 for all v(n ). Wherea =3.Equilibrium solutians: D. y(1) = 0 and y(t) = 3. Behavior of y(t) as t → »depends on initial value y(1o): y(to) > 3:y(1) diverges from y = 3. 0

Drawa direction field for the given differential equation. Based on the direction field, deternine the behavior of y as 1 → * If this behavior depends on the initial value of y atr = 0, describe this dependency. Wherea 3. Equilibrium solution: y(1) = 3. Behavior of yir) as t → zis independent of initial value y(to ): y(o) → 3 for all v(n ). Wherea =3.Equilibrium solutians: D. y(1) = 0 and y(t) = 3. Behavior of y(t) as t → »depends on initial value y(1o): y(to) > 3:y(1) diverges from y = 3. 0

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

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...

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