Consider the initial value problem? t (t-1) x′′′ - 3tx′′ + 6t2x′ - (cost) x=√t+5 x (t0) = 1, x′ (t0) = 0, x′′ (t0) = 7. Determine the values of t0 and the intervals (a, b) containing t0 for which Theorem 1 guarantees the existence of a unique solution on (a, b).
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