Calculate the Wronskian of y₁ = 42 and y2 W(2) = = 71. b) Are the functions y₁ = 4x, y2 = 7 linearly independent or dependent? O Dependent O Independent D c) If the functions are linearly dependent, there exist non-zero coefficients c₁ and c₂ such that ciyi + C1y2 = 0 Which of the following would satisfy this? ○ The functions are linearly independent. Oc₁-7 and c2-4 C₁-7 and c2-4 Oc1-4 and c₂-7

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 5E
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Calculate the Wronskian of y₁ = 42 and y2
W(2) =
=
71.
b) Are the functions y₁ = 4x, y2 = 7 linearly independent or dependent?
O Dependent
O Independent
D
c) If the functions are linearly dependent, there exist non-zero coefficients c₁ and c₂
such that ciyi + C1y2 = 0
Which of the following would satisfy this?
○ The functions are linearly independent.
Oc₁-7 and c2-4
C₁-7 and c2-4
Oc1-4 and c₂-7
Transcribed Image Text:Calculate the Wronskian of y₁ = 42 and y2 W(2) = = 71. b) Are the functions y₁ = 4x, y2 = 7 linearly independent or dependent? O Dependent O Independent D c) If the functions are linearly dependent, there exist non-zero coefficients c₁ and c₂ such that ciyi + C1y2 = 0 Which of the following would satisfy this? ○ The functions are linearly independent. Oc₁-7 and c2-4 C₁-7 and c2-4 Oc1-4 and c₂-7
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