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Differential EquationsEasyExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Easy problem

Consider the linear IVP y′+yt−4=ln⁡ty' + \dfrac{y}{t - 4} = \ln t, y(1)=2y(1) = 2. The existence and uniqueness theorem for linear equations guarantees a unique solution on an open interval. What is the length of the largest such interval?