(c) Determine the smallest b>0 such that the BVP 2y" 18y = tanh(x), y(0) = 0, y' (b) = 3, - does not have a unique solution.

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

Hi I got PART C wrong. Please help me with the solution to ONLY PART C. Thank you 

a) Cheek whether the IVP
X
y(0) = 4.
4-4'
satisfies the hypotheses of the Picard-Lindelöf theorem
Find all the solutions of the IVP defined in (a). Is this result in contradiction
with the result obtained in (a)? Explain your answer.
(c) Determine the smallest b > 0 such that the BVP
2y" 18y = tanh(r), y(0) = 0, y' (b) = 3,
does not have a unique solution.
Transcribed Image Text:a) Cheek whether the IVP X y(0) = 4. 4-4' satisfies the hypotheses of the Picard-Lindelöf theorem Find all the solutions of the IVP defined in (a). Is this result in contradiction with the result obtained in (a)? Explain your answer. (c) Determine the smallest b > 0 such that the BVP 2y" 18y = tanh(r), y(0) = 0, y' (b) = 3, does not have a unique solution.
Expert Solution
steps

Step by step

Solved in 8 steps with 8 images

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,