2.1.12 Show that the recurrence relation 1 J″(X) = [Jn-1(X) — Jn+1(X)] follows directly from differentiation of 1 Jn(x) == * cos(ne - x sine) do. 0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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12.1.12 Show that the recurrence relation
J₁(x) = [Jn-1(x) - Jn+1(x)]
follows directly from differentiation of
1
- ²6
Jn(x) ==
** cos(nex sin 0) de.
Transcribed Image Text:12.1.12 Show that the recurrence relation J₁(x) = [Jn-1(x) - Jn+1(x)] follows directly from differentiation of 1 - ²6 Jn(x) == ** cos(nex sin 0) de.
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