Solve the following differential equation by first reducing it to Bessel equation using the given change of variable. xy" +1ly'+ xy =0 ; y=x³u
Solve the following differential equation by first reducing it to Bessel equation using the given change of variable. xy" +1ly'+ xy =0 ; y=x³u
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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Question
Transcribed Image Text:(b)
(i)
Solve the following differential equation by first reducing it to Bessel
equation using the given change of variable.
ху" +11у'+ ху %3D0 ; у-х*и
x °u
(ii)
According to the result obtained in Q2(b)(i), express its general solution
in terms of Bessel function.
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