Show by verifying the hypothesis of the Existence and Uniqueness Theorem that the initial value problem x dot = 1+x^2, x(0) = 0 has a unique solution. Find the solution. what is the maximal interval of definition of the solution? I'll put what I think is the answer as a response. Could you tell me if I took the right approach?

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The solution is 0 and the maximal interval of definition is (-infinity,infinity)

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