Qn= n a.(a+B") a + ß Pn= b. (a"B") - B α also given, α = В a+b√m d a b√m d Now by using all given term, prove that, mb²-a² d 2mbd 2md -Qn-1 + 7Qn+1 = Pn

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given,
Qn=
n
a. (α" +ß")
a + ß
Pn=
n
b. (α” – ß")
α-ß
also given,
α =
a+b√√m
d
B:= a-b√m
d
Now by using all given term, prove that,
mb²-a²
2mbd
d
-Qn-1 + ¡Qn+1 = Pn
2md
Transcribed Image Text:Given, Qn= n a. (α" +ß") a + ß Pn= n b. (α” – ß") α-ß also given, α = a+b√√m d B:= a-b√m d Now by using all given term, prove that, mb²-a² 2mbd d -Qn-1 + ¡Qn+1 = Pn 2md
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