Calculate the Wronskian of y = 3, y2 = 6x and y3 = -18 +6 W(z) b) Are the functions y₁ = 3, y2 = 6x, and y3 = -18x + 6 linearly independent or dependent? O Dependent ◇ Independent c) If the functions are linearly dependent, there exist non-zero coefficients c₁ and c₂ such that c₁y+C1y2+ c3y3 = 0 Which of the following would satisfy this? O c₁-1, c-3, and c3=-2 O C₁=-2, C₂=3, C3 = 1 Oc₁-3, C2-1 and c3=-2 O The functions are linearly independent.

Calculate the Wronskian of y = 3, y2 = 6x and y3 = -18 +6 W(z) b) Are the functions y₁ = 3, y2 = 6x, and y3 = -18x + 6 linearly independent or dependent? O Dependent ◇ Independent c) If the functions are linearly dependent, there exist non-zero coefficients c₁ and c₂ such that c₁y+C1y2+ c3y3 = 0 Which of the following would satisfy this? O c₁-1, c-3, and c3=-2 O C₁=-2, C₂=3, C3 = 1 Oc₁-3, C2-1 and c3=-2 O The functions are linearly independent.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 25E

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