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Mathematical Methods by Pearson
book

Mathematical Methods by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
437 pages
17h 41m
English
Pearson India
Content preview from Mathematical Methods by Pearson
13-18 Mathematical Methods
holds. Equation (13.75) is called the auxiliary equa-
tion (AE) or subsidiary equation of the difference
equation. Since the degree of the equation (13.75) is
m it has m roots l
1
, l
2
, …,
l
m
(say). Solving the AE
(13.75) we can write the Complementary Function
(CF) of the difference equation (13.70) as shown in
the table below.
13.8.1(b) Particular Integral
Operating equation (13.70) by the inverse operator
1()Ef
we get the particular integral of equation
(13.58) as
y
n
=
1
()Ef
f ( n) (13.77)
13.8.2 Short Methods for Finding
the Particular Integral
Rule 1 f ( n) = a
n
and f (a) 0 (13.78)
(1) PI =
1
()Ef
a
n
=
1
()af
a
n
(replace ...
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Publisher Resources

ISBN: 9781299446557Publisher Website