Question: Determine the largest interval (a,b) for which Theorem 1 guarantees the existence of a unique solution on (a,b) to the initial value problem below.

Determine the largest interval (a,b) for which Theorem 1 guarantees the existence of a unique solution on (a,b) to the initial value problem below. xy"-9y+exy=x5-7, y(6) = 1, y'(6) = 0, y'' (6)=2 (Type your answer in interval notation.)

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