Determine the longest interval in which the given initial value problem is certain to have a unique twice-differentiable solution.   a) ?(? − 4)? ′′ + 3?? ′ + 4? = 2, ?(6) = 0, ? ′(6) = −1   b) (? + 1)? ′′ + ?? ′ + ? = sec ?, ?(0) = 2, ? ′(0) = −1   c) (? − 4)? ′′ + 3?? ′ + ln(?) ? = sin ?,

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