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(a) Check whether the IVP y' = y(0) = 4. 4' satisfies the hypotheses of the Picard-Lindelöf theorem. (b) Find all the solutions of the IVP defined in (a). Is this result in contradiction with the result obtained in (a)? Explain your answer. X Y

(a) Check whether the IVP y' = y(0) = 4. 4' satisfies the hypotheses of the Picard-Lindelöf theorem. (b) Find all the solutions of the IVP defined in (a). Is this result in contradiction with the result obtained in (a)? Explain your answer. X 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
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(a) Check whether the IVP y' X y(0) = 4. Y-4' satisfies the hypotheses of the Picard-Lindelöf theorem. - (b) 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(x), y(0) = 0, y'(b) = 3, does not have a unique solution.
Transcribed Image Text:(a) Check whether the IVP y' X y(0) = 4. Y-4' satisfies the hypotheses of the Picard-Lindelöf theorem. - (b) 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(x), y(0) = 0, y'(b) = 3, does not have a unique solution.
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