9. For each nonhomogeneous advancement operator equation, find its general solution. a. (A-5) (A+2)ƒ = 3" b. (A²+3A-1)g=2" + (-1)" c. (A-3)³f=3n+1
9. For each nonhomogeneous advancement operator equation, find its general solution. a. (A-5) (A+2)ƒ = 3" b. (A²+3A-1)g=2" + (-1)" c. (A-3)³f=3n+1
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:9. For each nonhomogeneous advancement operator equation, find its general
solution.
a. (A5) (A+2) f = 3"
b. (A²+3A1)g=2" + (−1)n
c. (A-3)³f3n+1
d. (A²+3A-1)g = 2n
e. (A-2)(A4) f = 3n²+ 9n
f. (A + 2)(A - 5)(A-1)ƒ = 5"
g. (A-3)2(A + 1)g = 2.3"
h. (A-2)(A+3)ƒ = 5n2"
i.
(A-2)²(A-1)g = 3n²2" + 2n
j. (A + 1)² (A-3)f=3" + 2n²
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