Consider the differential equation (E): (1-x)y" + xy - y = 0. Given that y₁ = ez is a solution of (E). Then by using the reduction of order, we have that: a. Y₂ = ex b. y₂ = x ex C. y/₂ = x2 d. None of them
Consider the differential equation (E): (1-x)y" + xy - y = 0. Given that y₁ = ez is a solution of (E). Then by using the reduction of order, we have that: a. Y₂ = ex b. y₂ = x ex C. y/₂ = x2 d. None of them
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:Consider the differential equation (E): (1-x)y" + xy - y = 0. Given that y₁ = ez is a
solution of (E). Then by using the reduction of order, we have that:
a. Y₂ = ex
b. y₂ = x
ex
C. y/₂ = x2
d. None of them
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