The indicated function y(x) is a solution of the given differential equation. xy"+y=0; y₁=In(x) Use reduction of order or formula (5) in Section 4.2, as instructed. e-SP(x) dx x²(x) Y2 = x₁(x) [ Find the integrating factor. e-SP(x) dx = Find a second solution y₂(x). Y₂= dx (5)

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 indicated function y(x) is a solution of the given differential equation.
xy"+y=0;
y₁=In(x)
Use reduction of order or formula (5) in Section 4.2, as instructed.
e-SP(x) dx
Y2 = Y₁(x) [²
Find the integrating factor.
e-SP(x) dx =
Find a second solution y₂(x).
Y2=
y²₁ (x)
dx (5)
Transcribed Image Text:The indicated function y(x) is a solution of the given differential equation. xy"+y=0; y₁=In(x) Use reduction of order or formula (5) in Section 4.2, as instructed. e-SP(x) dx Y2 = Y₁(x) [² Find the integrating factor. e-SP(x) dx = Find a second solution y₂(x). Y2= y²₁ (x) dx (5)
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