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 4y)=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)

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 4y)=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)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 34CR

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Question

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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