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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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