Question

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).

Answer 1

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