Assume that b in equation (18) can be pure imaginary, that is, b = i ,

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Assume that b in equation (18) can be pure imaginary, that is, b = β_i, > 0, i² = -1. Use this assumption to express the general solution of the given differential equation in terms the modified Bessel functions In and Kⁿ.

(a) y'' - x²y = 0

(b) xy'' + y' 7x³y = 0

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

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Question Posted: Oct 29, 2020 08:52 AM

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Assume that b in equation (18) can be pure imaginary, that is, b = i ,

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a y x2y 0 This is the equation for a harmonic oscillator ...View the full answer

A First Course in Differential Equations with Modeling Applications

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