Calculate the Wronskian, W(y₁, ₂'' 1 if the set is linearly independent or not. 1. y₁ = sin2x, y₂ = cos2x " y), of the following set of functions and determine

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Calculate the Wronskian, W(y₁, y ₂².
2'
if the set is linearly independent or not.
1. y₁ = sin2x, y, = cos2x
1
2
2. 1₁ = e
3. У 1
-3x
"
-2x
= e
y₂
2
-3x
= xe
-2x
cosx, Y, = e
2
sinx
2
4. y₁ = e, y₂ = xe", y₁ = x²e²
У1
x
3
)
y), of the following set of functions and determine
n
Transcribed Image Text:Calculate the Wronskian, W(y₁, y ₂². 2' if the set is linearly independent or not. 1. y₁ = sin2x, y, = cos2x 1 2 2. 1₁ = e 3. У 1 -3x " -2x = e y₂ 2 -3x = xe -2x cosx, Y, = e 2 sinx 2 4. y₁ = e, y₂ = xe", y₁ = x²e² У1 x 3 ) y), of the following set of functions and determine n
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