Use the recurrence relation in Problem 28 along with (23) and (24) to express J 3/2 (x),
Question:
Use the recurrence relation in Problem 28 along with (23) and (24) to express J3/2(x), J-3/2(x), J5/2(x) and J-5/2(x) in terms of sin x, cos x, and powers of x.
Problem 28
Use the formula obtained in Example 5 along with part (a) of Problem 27 to derive the recurrence relation
2vJv (x) = xJv+1(x) + x Jv-1(x).
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J32x 23xJ52x 13J12x J32x 23xJ52x 13J12x J52x 152xJ...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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