(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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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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.
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