Find the recurences  a) a n= 2an-1 + 3a n-2+ 3n a0 = 0; a1 = 1;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Topic Video
Question

Find the recurences 

a)

a n= 2an-1 + 3a n-2+ 3n
a0 = 0;
a1 = 1;

 

b) an = 7a n-1−10a n-2+ 5n
a0 = 1;
a1 = 1

n≥2;

 

c) an+2 = 2an+1 − an
a0 = 1; a1 = 2

 

d) an+2 = 4an+1 + 4a+2n
a0 = 0;a1 = 0

e) an+3=6an+2 - 11an+1 +6an

a0=2, a1=0, a2=-2

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