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6 - cos t sin t cos t Let 1 (t) , 02(t) cos t, a3 (t) = - sin t Which of the following statements are true? sin t cos t I. The Wronskian of a1(t), a2(t), r3 (t) is W(r1, x2, r3)(t) = cos t. II. æ1 (t), x2(t), x3(t) are linearly independent on (-0o, 0). III. 1(t), 2(t), x3 (t) are solutions of a linear homogeneous system a' (t) = A(t)x(t) on (-0o, 00), where A(t) is a 3 x 3 matrix function continuous on (-0o, 00). %3D a) O I, Il and III b) O Only I c) O I and I| d) O Il and II e) I and III Boş bırak

6 - cos t sin t cos t Let 1 (t) , 02(t) cos t, a3 (t) = - sin t Which of the following statements are true? sin t cos t I. The Wronskian of a1(t), a2(t), r3 (t) is W(r1, x2, r3)(t) = cos t. II. æ1 (t), x2(t), x3(t) are linearly independent on (-0o, 0). III. 1(t), 2(t), x3 (t) are solutions of a linear homogeneous system a' (t) = A(t)x(t) on (-0o, 00), where A(t) is a 3 x 3 matrix function continuous on (-0o, 00). %3D a) O I, Il and III b) O Only I c) O I and I| d) O Il and II e) I and III Boş bırak

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 51E
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6 - cos t sin t cos t Let 1 (t) , x2(t) = | cos t , æ3(t) - sin t Which of the following statements are true? sin t cos t I. The Wronskian of 1(t), x2(t), c3(t) is W(r1, 2, a3)(t) II. #1 (t), x2(t), x3(t) are linearly independent on (-o, o0). II. a1(t), x2(t), x3 (t) are solutions of a linear homogeneous system æ' (t) = A(t)x(t) on (-00, 00), where A(t) is a 3 x 3 matrix function continuous on (-0o, 00). = cos t. %3D a) O I, Il and II b) Only I c) O I and Il d) Il and III e) I and II Cevap Listesi Boş bırak 7. 7. Карat 13 KÖnceki 6/13 Sonraki> Akt decen
Transcribed Image Text:6 - cos t sin t cos t Let 1 (t) , x2(t) = | cos t , æ3(t) - sin t Which of the following statements are true? sin t cos t I. The Wronskian of 1(t), x2(t), c3(t) is W(r1, 2, a3)(t) II. #1 (t), x2(t), x3(t) are linearly independent on (-o, o0). II. a1(t), x2(t), x3 (t) are solutions of a linear homogeneous system æ' (t) = A(t)x(t) on (-00, 00), where A(t) is a 3 x 3 matrix function continuous on (-0o, 00). = cos t. %3D a) O I, Il and II b) Only I c) O I and Il d) Il and III e) I and II Cevap Listesi Boş bırak 7. 7. Карat 13 KÖnceki 6/13 Sonraki> Akt decen
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