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(a) Check whether the IVP y' = = 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' = = 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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 40E
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(a) Check whether the IVP y' = y(0) = 4. y 4 satisfies the hypotheses of the Picard-Lindelöf theorem. X 9 (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 does not have a unique solution. 2y" — 18y = tanh(x), y(0) = 0, y'(b) = 3,
Transcribed Image Text:(a) Check whether the IVP y' = y(0) = 4. y 4 satisfies the hypotheses of the Picard-Lindelöf theorem. X 9 (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 does not have a unique solution. 2y" — 18y = tanh(x), y(0) = 0, y'(b) = 3,
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