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Cos t sin t cos t Let x1 (t) , a2(t) : cos t, 3 (t) sin t Which of the following statements are true? sin t Cost 1. The Wronskian of 1(t), 2(t), x3 (t) is W (1, 2, 03)(t) II. ¤1(t), x2(t), r3 (t) are linearly independent on (-∞, 0). II. 21 (t), x2(t), 13 (t) are solutions of a linear homogeneous system r' (t) = A(t)x(t) on (-00, 00), where A(t) is a 3 x 3 matrix function continuous on (-o, x). = Co t. a)1, Il and II b) Only I c) I and II d) Il and III e) I and III Boş bırak Cevap Listesi

Cos t sin t cos t Let x1 (t) , a2(t) : cos t, 3 (t) sin t Which of the following statements are true? sin t Cost 1. The Wronskian of 1(t), 2(t), x3 (t) is W (1, 2, 03)(t) II. ¤1(t), x2(t), r3 (t) are linearly independent on (-∞, 0). II. 21 (t), x2(t), 13 (t) are solutions of a linear homogeneous system r' (t) = A(t)x(t) on (-00, 00), where A(t) is a 3 x 3 matrix function continuous on (-o, x). = Co t. a)1, Il and II b) Only I c) I and II d) Il and III e) I and III Boş bırak Cevap Listesi

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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cos t sin t cos t Let ¤1 (t) = ,02(t) = ,03 (t) sin t cos t sin t . Which of the following statements are true? Cos t 1. The Wronskian of 1(t), x2(t), x3 (t) is W(1, T2, 23) (t) II. ¤1(t), x2(t), x3 (t) are linearly independent on (-∞, 0). III. x1(t), x2(t), 13 (t) are solutions of a linear homogeneous system e'(t) = A(t)x(t) on (-0o, 0), where A(t) is a 3 x 3 matrix function continuous on (-∞, ∞). = Cos t. I, Il and II b) Only I c) I and II d) Il and III e) I and II Boş bırak Cevap Listesi
Transcribed Image Text:cos t sin t cos t Let ¤1 (t) = ,02(t) = ,03 (t) sin t cos t sin t . Which of the following statements are true? Cos t 1. The Wronskian of 1(t), x2(t), x3 (t) is W(1, T2, 23) (t) II. ¤1(t), x2(t), x3 (t) are linearly independent on (-∞, 0). III. x1(t), x2(t), 13 (t) are solutions of a linear homogeneous system e'(t) = A(t)x(t) on (-0o, 0), where A(t) is a 3 x 3 matrix function continuous on (-∞, ∞). = Cos t. I, Il and II b) Only I c) I and II d) Il and III e) I and II Boş bırak Cevap Listesi
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