nsider the differential equation dy/dx-7-y. (a) Either by inspection or by the concept that y=-=

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-7-y.
(a) Either by inspection or by the concept that y-c, -<x<w, is a constant function if and only if y'= 0, find 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(x) is increasing. Find the intervals on the
y-axis on which y=(x) is decreasing. (Enter your answer using interval notation.)
increasing
decreasing
Transcribed Image Text:Consider the differential equation dy/dx-7-y. (a) Either by inspection or by the concept that y-c, -<x<w, is a constant function if and only if y'= 0, find 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(x) is increasing. Find the intervals on the y-axis on which y=(x) is decreasing. (Enter your answer using interval notation.) increasing decreasing
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