(a) The differential equation x 4 y ' ' y 0 has an irregular singular point at x 0 Show that the substitution t 1 x yields the DE which now has a regular singular point at t 0 (b) Use the method of this section to find two series solutions of the second equation in part (a) about the regular singul...

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(a) The differential equation x 4 y'' + y = 0 has an irregular singular point at...

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(a) The differential equation x⁴y'' + λy = 0 has an irregular singular point at x = 0. Show that the substitution t = 1 x yields the DE

d'y, 2 dy + Ay = 0, + dt? t dt

which now has a regular singular point at t = 0.

(b) Use the method of this section to find two series solutions of the second equation in part (a) about the regular singular point t = 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 08:53 AM

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(a) The differential equation x 4 y'' + y = 0 has an irregular singular point at...

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d'y, 2 dy + Ay = 0, + dt? t dt

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A First Course in Differential Equations with Modeling Applications

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