Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
3. Make up a differential equation of the form dy/dt = f(t, y) that has y(t) = e² as a solution. (Try to come up with one whose right-hand side f(t, y) depends explicitly on both t and y.)

3. Make up a differential equation of the form dy/dt = f(t, y) that has y(t) = e² as a solution. (Try to come up with one whose right-hand side f(t, y) depends explicitly on both t and 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
See similar textbooks
icon
Related questions
Question

HELP ASAP!!!! #3 ONLY!!!

1. Bob, Glen, and Paul are once again sitting around enjoying their nice, cold glasses of iced cappucino when one of their students asks them to come up with solutions to the differential equation dy dt y+1 t+1 After much discussion, Bob says y(t) = t, Glen says y(t) = 2t + 1, and Paul says y(t) = 1² -2. (a) Who is right? (b) What solution should they have seen right away? 2. Make up a differential equation of the form dy dt = 2y - t + g(y) that has the function y(t) = e²t as a solution. as a 3. Make up a differential equation of the form dy/dt = f (t, y) that has y(t) = e²³ a solution. (Try to come up with one whose right-hand side f(t, y) depends explicitly on both t and y.)
Transcribed Image Text:1. Bob, Glen, and Paul are once again sitting around enjoying their nice, cold glasses of iced cappucino when one of their students asks them to come up with solutions to the differential equation dy dt y+1 t+1 After much discussion, Bob says y(t) = t, Glen says y(t) = 2t + 1, and Paul says y(t) = 1² -2. (a) Who is right? (b) What solution should they have seen right away? 2. Make up a differential equation of the form dy dt = 2y - t + g(y) that has the function y(t) = e²t as a solution. as a 3. Make up a differential equation of the form dy/dt = f (t, y) that has y(t) = e²³ a solution. (Try to come up with one whose right-hand side f(t, y) depends explicitly on both t and y.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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,
SEE MORE TEXTBOOKS