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Let L()= (x-1)y"-xy² + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by reduction of orden solve on (8,00), is 4(y)=0 and ii) L(y) = 2(x-17² e*. 6) by the variation of parameters, solve, h(y) = 2(x-1) ² ex on (1,00) ' LCH

Let L()= (x-1)y"-xy² + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by reduction of orden solve on (8,00), is 4(y)=0 and ii) L(y) = 2(x-17² e*. 6) by the variation of parameters, solve, h(y) = 2(x-1) ² ex on (1,00) ' LCH

Advanced Engineering Mathematics
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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Let L(y)=(x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by reduction of orden solve on (8,00), is 4(y)=0 and ii) L(y) = 2(x-17² e*. 6) by the variation of parameters, solve, h(y) = 2(x-1) ² ex on (1,00) Sack-ij²ex if 1<x<2 c) solve: L (4) = {(x-1) 2 if x2
Transcribed Image Text:Let L(y)=(x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by reduction of orden solve on (8,00), is 4(y)=0 and ii) L(y) = 2(x-17² e*. 6) by the variation of parameters, solve, h(y) = 2(x-1) ² ex on (1,00) Sack-ij²ex if 1<x<2 c) solve: L (4) = {(x-1) 2 if x2
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