The function y₁ = e" is a solution to (x − 1)y" — 2xy' + (x + 1)y = 0, x > 1. Use reduction of order to find a function y2 so that the pair y₁,92 form a fundamental set of solutions to this differential equation.
The function y₁ = e" is a solution to (x − 1)y" — 2xy' + (x + 1)y = 0, x > 1. Use reduction of order to find a function y2 so that the pair y₁,92 form a fundamental set of solutions to this differential equation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The function y₁ = e" is a solution to
(x − 1)y″ − 2xy' + (x + 1)y = 0, x > 1.
Use reduction of order to find a function y2 so that the pair y₁,92 form a fundamental
set of solutions to this differential equation.
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