4. (a) (8) Determine (without solving the problem) the longest interval in which the following IVP is certain to have a unique solution, according to the Existence and Uniqueness Theorem for linear equations. State reason for your answer. (t^2 - 9)y' + y ln(t + 1) = 2 sec t, y(0) = 5 (b) (8) Solve the differential equation (dy)/(dt) + t^-1y = cos(t), t > 0
4. (a) (8) Determine (without solving the problem) the longest interval i…
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