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(a) Check whether the IVP y' = 49y6/7x6, y(0) = 0. satisfies the hypotheses of the Picard-Lindelöf theorem. (b) Find all the solutions of the IVP in (a). Is this in contradiction with the prediction of the Picard-Lindelöf theorem? (Explain your answer).

(a) Check whether the IVP y' = 49y6/7x6, y(0) = 0. satisfies the hypotheses of the Picard-Lindelöf theorem. (b) Find all the solutions of the IVP in (a). Is this in contradiction with the prediction of the Picard-Lindelöf theorem? (Explain your answer).

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
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Question 2 (a) Check whether the IVP y' = 49y6/7x6, y(0) = 0. satisfies the hypotheses of the Picard-Lindelöf theorem. (b) Find all the solutions of the IVP in (a). Is this in contradiction with the prediction of the Picard-Lindelöf theorem? (Explain your answer). (c) Determine the smallest b > 0 such that the BVP has a unique solution. 3y" +12y = esin, y(0) = 0, y(b) = 8 =
Transcribed Image Text:Question 2 (a) Check whether the IVP y' = 49y6/7x6, y(0) = 0. satisfies the hypotheses of the Picard-Lindelöf theorem. (b) Find all the solutions of the IVP in (a). Is this in contradiction with the prediction of the Picard-Lindelöf theorem? (Explain your answer). (c) Determine the smallest b > 0 such that the BVP has a unique solution. 3y" +12y = esin, y(0) = 0, y(b) = 8 =
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