In Problems 1-6, determine the largest interval (, b) jor which Theorem 1 guarantees the existence of a unique solu- tion on (a, b) to the given initial value problem. 1. xy"-3y'+ e'y = x- 13; y(-2) = 1, 2. y" – Vxy = sin.x; : | y'(-2) = 0, y"(-2) = 2 y(T) = 0, y' (7) = 11, y" (T) = 3 %3D tan r

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