Question: Find the largest interval, 1, in which a function y (t ) solution of the initial value problem t 1 y + ( t -

Find the largest interval, 1, in which a function y (t ) solution of the initial value problem t 1 y" + ( t - 1 ) 3 ' + ( + + 1 ) y = (t - 3) ' y(4) = 1, y' (4) = 4, is guaranteed to exist because of the theorem about existence and uniqueness of solutions to second order linear differential equations

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