(a) Find a solution from the family in part (a) of Problem 31 that satisfies y’ = y2, y(0) = y0, where y0 ≠ 0. Explain why the largest interval I of definition for this solution is either (−∞, 1/y0) or (1/y0, ∞).
(b) Determine the largest interval I of definition for the solution of the first-order initial-value problem y’ = y2, y(0) = 0.
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