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Consider the equation du - 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? (A) When a = 0, we have infinitely many solutions over I. (B) When a = 1, we have a unique solution over I. (C) When a = 0, y = 0 is a solution over I. (D) When a = 2, we have no solutions over I. (E) When a = -1, we have no solutions over I.

Consider the equation du - 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? (A) When a = 0, we have infinitely many solutions over I. (B) When a = 1, we have a unique solution over I. (C) When a = 0, y = 0 is a solution over I. (D) When a = 2, we have no solutions over I. (E) When a = -1, we have no solutions over I.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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dy Consider the equation du - 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? da (A) When a = 0, we have infinitely many solutions over I. (B) When a = 1, we have a unique solution over I. (C) When a = 0, y = 0 is a solution over I. (D) When a = 2, we have no solutions over I. (E) When a = -1, we have no solutions over I.
Transcribed Image Text:dy Consider the equation du - 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? da (A) When a = 0, we have infinitely many solutions over I. (B) When a = 1, we have a unique solution over I. (C) When a = 0, y = 0 is a solution over I. (D) When a = 2, we have no solutions over I. (E) When a = -1, we have no solutions over I.
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