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Let n be a positive integer. n+1 n+1-r (a) Suppose r is an integer amongst 0,1, - n. Prove that ()/("1)- r+1 r+1

Let n be a positive integer. n+1 n+1-r (a) Suppose r is an integer amongst 0,1, - n. Prove that ()/("1)- r+1 r+1

Advanced Engineering Mathematics
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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2. Let n be a positive integer. n+1-r (a) Suppose r is an integer amongst 0, 1,-n. Prove that r+1 r+1 (b) Hence, or otherwise, deduce the equalities below: An? + Bn + C n+1 k+1 i. II (()+("' )) - + Dy [(n +F) n+1 k+1 n+1 Here A, B, C, D, E, F are some positive integers whose respective values you have to determine explicitly.
Transcribed Image Text:2. Let n be a positive integer. n+1-r (a) Suppose r is an integer amongst 0, 1,-n. Prove that r+1 r+1 (b) Hence, or otherwise, deduce the equalities below: An? + Bn + C n+1 k+1 i. II (()+("' )) - + Dy [(n +F) n+1 k+1 n+1 Here A, B, C, D, E, F are some positive integers whose respective values you have to determine explicitly.
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