Compute the Wronskian of the following functions and determine whether they are linearly dependent or independent along the entire x-axis. i. y₁ = sinx, y y₂ = cos2x ii. y₁ =x³,yy2=-2x³ iii. y₁ = x, y2=4x-3x², y3 = = x²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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Compute the Wronskian of the following functions and determine whether they are linearly
dependent or independent along the entire x-axis.
i. y₁ = sinx, y y₂ = cos2x
ii. y₁ = x³, y y₂ = −2x³
iii. y₁ =x, y2=4x-3x², y3 = x²
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT Compute the Wronskian of the following functions and determine whether they are linearly dependent or independent along the entire x-axis. i. y₁ = sinx, y y₂ = cos2x ii. y₁ = x³, y y₂ = −2x³ iii. y₁ =x, y2=4x-3x², y3 = x²
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