The function y1=ln x is a solution of xy''+y'=0 A) Find a second solution y2 on the interval (0,infinity) B) Verify that y1 and y2 solve the equation. C) Show that each solution is linearly independent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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The function y1=ln x is a solution of xy''+y'=0

A) Find a second solution yon the interval (0,infinity)

B) Verify that yand y2 solve the equation.

C) Show that each solution is linearly independent.

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