Let Ly = y" + py' + qy. Suppose that yi and y2 are two functions such that Lyi = f(x) and Ly2 = g(x). Show that their sum y = yı + y2 satisfies the nonhomo- geneous equation Ly = f(x)+ g(x).

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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Let Ly = y" + py' + qy. Suppose that yi and y2 are two
functions such that
Lyi = f(x) and Ly2 = g(x).
Show that their sum y = yı + y2 satisfies the nonhomo-
geneous equation Ly = f(x)+ g(x).
Transcribed Image Text:Let Ly = y" + py' + qy. Suppose that yi and y2 are two functions such that Lyi = f(x) and Ly2 = g(x). Show that their sum y = yı + y2 satisfies the nonhomo- geneous equation Ly = f(x)+ g(x).
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