n m+n ) (₁ - ₁) + - + ( ) ( ) = (";"). (™+"). r > a. in valid
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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Transcribed Image Text:a. Given m ≥ 0, n ≥ 0, and r ≥ 0, give a combinatorial proof for the identity
(O)()+() (5) +--- () ()-("+")
=
m
Note:
m
a
(:)
0, whenever b> a.
b. Prove that the following identity is valid
n
2
2
2
2
n
n
2n
(C)² + (0)² + ( )² + · + ( )² – (2²).
=
Hint: Find appropriate values for m, n, and r in the identity on part (a).
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