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. Solve the following recurrence relations: (1) аn+1 — а, %3D п* , п 20, аg — 1 | (ii) аn+2 — 2ал+1 +an 3D 2" , п 2 0, aо —D 1, ај — 2 |

. Solve the following recurrence relations: (1) аn+1 — а, %3D п* , п 20, аg — 1 | (ii) аn+2 — 2ал+1 +an 3D 2" , п 2 0, aо —D 1, ај — 2 |

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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Solve the following question using recurrence relation and generating functions

3. Find the number of integer solutions to the equation, C1 + c2 + C3 + C4 = 20, where, –3 < C1, –3 < c2, -5 < c3 < 5, 0 < ¢4.
Transcribed Image Text:3. Find the number of integer solutions to the equation, C1 + c2 + C3 + C4 = 20, where, –3 < C1, –3 < c2, -5 < c3 < 5, 0 < ¢4.
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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