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
icon
Related questions
Question
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,