Determine the longest interval in which the given initial value problem is certain to have a unique twice differentiable solution. Do not attempt to find the solution. t(t – 5)y" + 3ty' + 6y = 5, y(4)...

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Extracted text: Determine the longest interval in which the given initial value problem is certain to have a unique twice differentiable solution. Do not attempt to find the solution. t(t – 5)y" + 3ty' + 6y = 5, y(4) = 6, y'(4) = -7 %3D The longest interval is (