(a) Check whether the IVP = y(0) = 4. -4' satisfies the hypotheses of the Picard-Lindelöf theorem. X Y (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.
(a) Check whether the IVP = y(0) = 4. -4' satisfies the hypotheses of the Picard-Lindelöf theorem. X Y (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.
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
Transcribed Image Text:(a) Check whether the IVP
X
y'
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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Can you please show me part C
Transcribed Image Text:(a) Check whether the IVP
X
y'
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.
Solution
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