Modified Bessel functions of the first kind of order v are defined by I v (x) = i-vJv (ix), i = -1. Show that I v satisfies the ODE x²y + xy' – (x2 + v³)y = 0. (12)

Chapter 5, PROBLEM SET 5.5 #12
Modified Bessel functions of the first kind of order v are defined by I(x) = i-vJv (ix), i = ˆš-1. Show that Ivsatisfies the ODE

x²y

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Related Book For answer-question

Advanced Engineering Mathematics

10th edition

Authors: Erwin Kreyszig

ISBN: 978-0470458365