Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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a. Show that the Bessel equation of order one-half
x²y" + xy' + (x¹ − ²)y :
-
can be reduced to the equation
) y = 0,
v" +u = 0
x > 0,
by the change of variable y = x-v(x).
b. Using part a. find the general solution of the Bessel equation of order one-half.
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Transcribed Image Text:a. Show that the Bessel equation of order one-half x²y" + xy' + (x¹ − ²)y : - can be reduced to the equation ) y = 0, v" +u = 0 x > 0, by the change of variable y = x-v(x). b. Using part a. find the general solution of the Bessel equation of order one-half.
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