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(3) Find the Wronskian of the following pairs of functions: g(x)=1-cos(2x). (a) f(x) = sin(a), (b) f(x) = sin(a), g(x) = cos(x). (c) f(x) = e(a), g(x) = e(8),

(3) Find the Wronskian of the following pairs of functions: g(x)=1-cos(2x). (a) f(x) = sin(a), (b) f(x) = sin(a), g(x) = cos(x). (c) f(x) = e(a), g(x) = e(8),

Calculus: Early Transcendentals
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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HW7P3

(3) Find the Wronskian of the following pairs of functions: (a) \( f(x) = \sin^2(x), \quad g(x) = 1 - \cos(2x) \). (b) \( f(x) = \sin(x), \quad g(x) = \cos(x) \). (c) \( f(x) = e^{\alpha x}, \quad g(x) = e^{\beta x} \). (d) \( f(x) = e^{\alpha x}, \quad g(x) = xe^{\alpha x} \).
Transcribed Image Text:(3) Find the Wronskian of the following pairs of functions: (a) \( f(x) = \sin^2(x), \quad g(x) = 1 - \cos(2x) \). (b) \( f(x) = \sin(x), \quad g(x) = \cos(x) \). (c) \( f(x) = e^{\alpha x}, \quad g(x) = e^{\beta x} \). (d) \( f(x) = e^{\alpha x}, \quad g(x) = xe^{\alpha x} \).
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