(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
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.
(c) Express each series solution of the original equation in terms of elementary functions.
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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