Let L(y) = (x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,000), by reduction of orden solve on ($,00), із нуб=0 and it) L(y) = 2x-17² e*. 6) by the variation of parameters, solve, h(y) = 2(x-1) ²³ ex on (1,00) Sack-1²ex if 15x<2 c) solve: L(4)= [(x-1)2 if x2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Answer letter b by the variation of parameters

Let L()= (x-1)y"-xy² + y
a) with the observation that y, =x is a solution of L(4)=0 on (1500),
by reduction of orden solve on (8,00),
is 4(y)=0
and ii) L(y) = 2(x-13² e*
6) by the variation of parameters, solve, h(y) = 2(x-1)² ex on (1,00)
Scx-1²e* if 1<x<2
c) solve: L(4)= [(x-1)2
if x2
Transcribed Image Text:Let L()= (x-1)y"-xy² + y a) with the observation that y, =x is a solution of L(4)=0 on (1500), by reduction of orden solve on (8,00), is 4(y)=0 and ii) L(y) = 2(x-13² e* 6) by the variation of parameters, solve, h(y) = 2(x-1)² ex on (1,00) Scx-1²e* if 1<x<2 c) solve: L(4)= [(x-1)2 if x2
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