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
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
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 = 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
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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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