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2 1 In each of the following problems, determine whether the given pair of functions is linearly independent or linearly dependent. (a) yı(t) = cos(3t), y2(t) = 4 cos³ t - 3 cos t (b) y₁(t) = ept cos(qt), y₂(t) = ept sin(qt), q‡ 0 (c) y₁ (t) = e³t, Y₂(t) = e³(t-1) 11 problems WILL II. given

2 1 In each of the following problems, determine whether the given pair of functions is linearly independent or linearly dependent. (a) yı(t) = cos(3t), y2(t) = 4 cos³ t - 3 cos t (b) y₁(t) = ept cos(qt), y₂(t) = ept sin(qt), q‡ 0 (c) y₁ (t) = e³t, Y₂(t) = e³(t-1) 11 problems WILL II. given

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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1 In each of the following problems, determine whether the given pair of functions is linearly independent or linearly dependent. (a) y₁ (t) = cos(3t), y(t) = 4 cos³ t - 3 cost (b) y₁(t) = ept cos(qt), y₂(t) = ept sin(qt), q‡ 0 (c) y₁ (t) = e³t, y₂(t) = e³(t-1) [ h of u Ր 11 problems, WIUH.. II. viven
Transcribed Image Text:1 In each of the following problems, determine whether the given pair of functions is linearly independent or linearly dependent. (a) y₁ (t) = cos(3t), y(t) = 4 cos³ t - 3 cost (b) y₁(t) = ept cos(qt), y₂(t) = ept sin(qt), q‡ 0 (c) y₁ (t) = e³t, y₂(t) = e³(t-1) [ h of u Ր 11 problems, WIUH.. II. viven
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