May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Solution Manual
Author: Uma Shanker Gupta and ISBN: 978-93-325-2139-1
A-48
(v) The characteristic roots are m =
1
2
1
2
,
As the roots are repeated, the solution is
aAAn
n
n
=+
()
12
1
2
Applying initial conditions and solving the resulting equations
AA
12
13==
,
Hence, the required solution is
an
n
n
=+
−
()
132
(vi) The characteristic roots are m = 1, 2
Hence, the solution is
aA A
n
nn
=+
12
12
()
Applying initial conditions and solving the resulting equation
AA
12
23==
,
Hence, the required solution is
a
n
nn
=+21 32()
()
6. (i) aaa
nnn
nn
++
−+
=+
21
56
52
Since the R.H.S is non-zero, the equation is a non-homogeneous linear equation.
The characteristic equation ...
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