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Existence and uniqueness theorem

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I am looking for the solution of this problem. It involves a little bit of theory in the second part. In the solution give a detailed solution showing all assumptions and theorems.

© BrainMass Inc. brainmass.com September 21, 2018, 11:41 am ad1c9bdddf - https://brainmass.com/math/numerical-analysis/existence-uniqueness-theorem-44057

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This shows how to solve an initial value problem and describe its relevance to the existence and uniqueness theorem.

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