(a) Consider the following phase line, where c is a positive constant. y=c y=0 i. Write down a differential equation that has this phase line. ii. Describe the behaviour of the solution that satisfies y(0) = -2 as the independent variable increases.

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter11: Differential Equations
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(a) Consider the following phase line, where c is a positive constant.
y=c
y=0
i. Write down a differential equation that has this phase line.
ii. Describe the behaviour of the solution that satisfies y(0) = -2 as the independent
variable increases.
Transcribed Image Text:(a) Consider the following phase line, where c is a positive constant. y=c y=0 i. Write down a differential equation that has this phase line. ii. Describe the behaviour of the solution that satisfies y(0) = -2 as the independent variable increases.
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