4. Solve the following recurrence relations: (i) а,+1 — а,n —D п? , п >0, ао — 1 (ii) а,+2 — 2ат+1 +an 3D 2" , п 2 0, ао 3D 1, ај %3D2 (i) а, — rа,-1 3 г!, r2 1, аo %3D 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the following question using concept of generating functions

4. Solve the following recurrence relations:
(i) an+1 - an = n² , n > 0, ao = 1
(ii) an+2 – 2an+1+an = 2" , n > 0, ao = 1, a1 = 2
(iii) a, – ra,-1=r! , r > 1, ao = 1.
Transcribed Image Text:4. Solve the following recurrence relations: (i) an+1 - an = n² , n > 0, ao = 1 (ii) an+2 – 2an+1+an = 2" , n > 0, ao = 1, a1 = 2 (iii) a, – ra,-1=r! , r > 1, ao = 1.
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