Solved: (Length of x-interval) In most cases the solution

Chapter 1, Problem 1.1.175

(choose chapter or problem)

In most cases the solution of an initial value problem (1) exists in an x-interval larger than that guaranteed by the present theorems. Show this fact for \(y^{\prime}=2 y^{2}, y(1)=1\) by finding the best possible \(\alpha\) (choosing b optimally) and comparing the result with the actual solution.

Text Transcription:

y ‘= 2y^2, y(1) = 1

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