Consider the following method of solving the equation y/ + p(x)y = g(x) Ce-S p(x)dx is the general solution to the homogeneous equation (a) Show that ye(x) y + p(x)y = 0 (b) Find a function u(x) such that yp(x) = u(x)e-S p(2)dz is a solution to the non homoge- neous equation.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Consider the following method of solving the equation
y/ + p(x)y = g(x)
Ce-S p(x)dx is the general solution to the homogeneous equation
(a) Show that ye(x)
y + p(x)y = 0
(b) Find a function u(x) such that yp(x) = u(x)e-S p(2)dz is a solution to the non homoge-
neous equation.
Transcribed Image Text:Consider the following method of solving the equation y/ + p(x)y = g(x) Ce-S p(x)dx is the general solution to the homogeneous equation (a) Show that ye(x) y + p(x)y = 0 (b) Find a function u(x) such that yp(x) = u(x)e-S p(2)dz is a solution to the non homoge- neous equation.
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