SOLVED: Problem #1: (a) Find the largest interval on which Theorem 3.1 guarantees that the following initial value problem has a unique solution.y” 14v 75, y(0) = 5, y'(0) = 10, y”(0) = 4(b) Find the largest interval on which Theorem 3.1.1 guarantees that the following initial value problem has a unique solution.y” (2 - 81)y' [4y - 25] = 0, y(0) = 5, y'(0) = 10, y”(0) = 4(A) (-7,2) (B) (-7,5) (C) (-5,0) (D) (-∞,-7) (E) (7,7) (F) (-7,-5) (G) (5,∞) (H) (5,7) (D) (-0,5) (I) (-∞,-7) (K
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