Construct an example of an IVP that satisfies

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Construct an example of an IVP that satisfies the Existence and Uniqueness Theorem.
Verify that the theorem is satisfied. What can you conclude?
(b) Construct an example of an IVP that does not satisfy the Existence and Uniqueness
Theorem. Show that theorem is not satisfied. What, if anything, can you conclude?
(c) Is it possible for an IVP to have a solution if it does not satisfy the Existence and
Uniqueness Theorem? If so, give an example and verify it. If not, justify why not.
Transcribed Image Text:(a) Construct an example of an IVP that satisfies the Existence and Uniqueness Theorem. Verify that the theorem is satisfied. What can you conclude? (b) Construct an example of an IVP that does not satisfy the Existence and Uniqueness Theorem. Show that theorem is not satisfied. What, if anything, can you conclude? (c) Is it possible for an IVP to have a solution if it does not satisfy the Existence and Uniqueness Theorem? If so, give an example and verify it. If not, justify why not.
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