Question 2(a) Check whether the IVPy' = 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 theprediction of the Picard-Lindelöf theorem? (Explain your answer).(c) Determine the smallest b > 0 such that the BVPhas a unique solution.3y" +12y = esin, y(0) = 0, y(b) = 8=

Answered: Image /qna-images/answer/ad0bffb2-8088-4263-922c-75ac9c9fc5a2.jpg

Answered: (a) Check whether the IVP y' =…

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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(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).