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 ' 2y 2 , y(1) 1 by finding the best possible a (choosing b optimally) and comparing the result with the actual solution

Question: 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

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' = 2y², y(1) = 1 by finding the best possible a (choosing b optimally) and comparing the result with the actual solution.

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