Problem #6: (a) Find the largest interval on which Theorem 4.1.1 guarantees that the following initial value problem has

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Problem 6 A Find The Largest Interval On Which Theorem 4 1 1 Guarantees That The Following Initial Value Problem Has 1 (53.71 KiB) Viewed 14 times

Problem #6: (a) Find the largest interval on which Theorem 4.1.1 guarantees that the following initial value problem has a unique solution. (x − 6) y' + (x² − 4) y″ + 17y x3, y(0) = 3, y'(0) = 6, y"(0) = 10 (b) Find the largest interval which Theorem 4.1.1 guarantees that the following initial value problem has a unique solution. (x+6) y"" + (x² − 4) y″ + 17y = - =—3, y(0)=3, y′(0) = 6, y″(0) = 10 X (A) (-6, 3) (B) (-∞, -6) (C) (-∞, -3) (D) (-6, ∞0) (E) (-∞0, 3) (F) (-3, ∞0) (G) (6,∞) (H) (-3, 6) (1) (3,6) (J) (-6,-3) (K) (-∞, 6) (L) (3,00) Problem #6(a): Select Part (a) choices. (A) (-6,∞0) (B) (3, 0) (C) (-∞, -6) (D) (-3, 6) (E) (6,∞) (F) (-6, 3) (G) (-3, ∞) (H) (-6,-3) (1) (-0,3) (J) (3,6) (K) (-∞0, 6) (L) (-∞, -3) Select Part (b) choices. Problem #6(b):