Consider the differential equation dy/dx = 3 - y. (a) Elther by inspection or by the concept that y = c, -o < x < co, is a constant function if and only if y' = 0, find constant solution of the DE. y = (b) Using only the differential equation, find the intervals on the y-axis on which nonconstant solution y = p(x) is increasing. Find the Intervals on the y-axis on which y = p(x) Is decreasing. (Enter your answer using interval notation.) increasing decreasing Need Help? Read It Watch It

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
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Consider the differential equation dy/dx = 3 - y.
(a) Elther by inspection or by the concept that y = c, -o < x < co, Is a constant function if and only if y' = 0, flnd a constant solution of the DE.
y =
(b) Using only the differential equation, find the intervals on the y-axis on which a nonconstant solution y = p(x) is Increasing. Find the Intervals on the y-axis on which y = p(x)
Is decreasing. (Enter your answer using interval notation.)
increasing
decreasing
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Watch It
Read It
Transcribed Image Text:Consider the differential equation dy/dx = 3 - y. (a) Elther by inspection or by the concept that y = c, -o < x < co, Is a constant function if and only if y' = 0, flnd a constant solution of the DE. y = (b) Using only the differential equation, find the intervals on the y-axis on which a nonconstant solution y = p(x) is Increasing. Find the Intervals on the y-axis on which y = p(x) Is decreasing. (Enter your answer using interval notation.) increasing decreasing Need Help? Watch It Read It
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,