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The solution of the equation below can be represented as y(x) = yn (x) + yp(x). y" + 3y' - 4y = 3x + sin(10x). Given yn (x) = Ae* + Be-4*, what is the corresponding particular solution, y(x)?

The solution of the equation below can be represented as y(x) = yn (x) + yp(x). y" + 3y' - 4y = 3x + sin(10x). Given yn (x) = Ae* + Be-4*, what is the corresponding particular solution, y(x)?

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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The solution of the equation below can be represented as y(x) = y₁ (x) + yp(x). y" + 3y' - 4y = 3x + sin(10x). Given yn (x) = Ae* + Be-4*, what is the corresponding particular solution, y(x)? Yp(x) = Cx + D cos(10x) +E sin(10x) + F Yp(x) = Cx + E sin(10x) + F O 11'')
Transcribed Image Text:The solution of the equation below can be represented as y(x) = y₁ (x) + yp(x). y" + 3y' - 4y = 3x + sin(10x). Given yn (x) = Ae* + Be-4*, what is the corresponding particular solution, y(x)? Yp(x) = Cx + D cos(10x) +E sin(10x) + F Yp(x) = Cx + E sin(10x) + F O 11'')
Yp(x) = Ce³x + D cos (10x) + E sin(10x) m Yp(x) = Cx + D cos(10x) +E sin(10x) ...*|||
Transcribed Image Text:Yp(x) = Ce³x + D cos (10x) + E sin(10x) m Yp(x) = Cx + D cos(10x) +E sin(10x) ...*|||
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