Show that the differential equation can be transformed into Legendres equation by means of the substitution x
Question:
Show that the differential equation
can be transformed into Legendre’s equation by means of the substitution x = cos θ.
Transcribed Image Text:
d²y + cos 0 dy + n(n + 1)(sin 0)y = 0 de sin 0 de2
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To Show dy d0 Let x Cos 0 Sin 0 dy de dy d0 dy ...View the full answer
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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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