The indicated function y(x) is a solution of the associated homogeneous equation. y" - 9y' + 8y = x; Y₁ = ex Let y = u(x)y, and w(x) = u'(x). Use the method of reduction of order to find a second solution y(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous equation. Find the integrating factor of the associated linear first-order equation in w(x). eSP(x) dx = Find the derivative u'(x). U'(x) = Other Bor Find y(x) and y(x). y₂(x)
The indicated function y(x) is a solution of the associated homogeneous equation. y" - 9y' + 8y = x; Y₁ = ex Let y = u(x)y, and w(x) = u'(x). Use the method of reduction of order to find a second solution y(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous equation. Find the integrating factor of the associated linear first-order equation in w(x). eSP(x) dx = Find the derivative u'(x). U'(x) = Other Bor Find y(x) and y(x). y₂(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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