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Verify by substitution that the family of functions y = -(x) sin(-3x) + cx is a solution of the ordinary differential equation -y + y'x = 2x² cos(-3x). Show your work. The symbol c is a non-zero constant.

Verify by substitution that the family of functions y = -(x) sin(-3x) + cx is a solution of the ordinary differential equation -y + y'x = 2x² cos(-3x). Show your work. The symbol c is a non-zero constant.

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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Question
Verify by substitution that the family of functions y = - x) sin(-3x) + cx is a solution of the ordinary differential equation -y + y'x = 2x² cos(-3x). Show your work. The symbol c is a non-zero constant.
Transcribed Image Text:Verify by substitution that the family of functions y = - x) sin(-3x) + cx is a solution of the ordinary differential equation -y + y'x = 2x² cos(-3x). Show your work. The symbol c is a non-zero constant.
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